Equation of constant acceleration
Difficulty: ★☆☆An object starts at 2 m s-1 and accelerates uniformly at 3 m s-2 for 4 s. What displacement does it cover?
Equation of constant acceleration
Difficulty: ★★☆A particle moves with constant acceleration 2 m s-2. After 8 s its speed is 17 m s-1. How far has it travelled in those 8 s?
Equation of constant acceleration
Difficulty: ★★☆An object moves 40 m in 5 s. Its initial velocity is 3 m s-1 and its acceleration is constant. Find the acceleration.
Equation of constant acceleration
Difficulty: ★★☆An object travels 28 m in 4 s with constant acceleration. Its final speed is 13 m s-1. Find the acceleration.
Equation of constant acceleration
Difficulty: ★★☆A particle has displacement 24 m, initial speed 2 m s-1 and final speed 14 m s-1. Assuming constant acceleration, find the acceleration.
Equation of constant acceleration
Difficulty: ★★☆A body moves 45 m in 6 s with constant acceleration 1.5 m s-2. Find its initial speed.
Equation of constant acceleration
Difficulty: ★★★A particle travels 24 m in 4 s with constant acceleration \(-2.5\) m s-2. Find its final velocity.
Equation of constant acceleration
Difficulty: ★★☆A particle accelerates uniformly at 0.75 m s-2. Its initial speed is 2 m s-1 and its final speed is 5 m s-1. Find the displacement.
Equation of constant acceleration
Difficulty: ★★★An object has constant acceleration \(-2\) m s-2, initial speed 10 m s-1, and displacement 24 m. What is the first positive time when this displacement is reached?
Equation of constant acceleration
Difficulty: ★★★A particle moves with constant acceleration 0.5 m s-2, final velocity 5 m s-1, and displacement 21 m. Find the first positive time when this happens.
Equation of constant acceleration
Difficulty: ★★★A particle has acceleration 1 m s-2, initial velocity 3 m s-1, and displacement 20 m. Find the first positive time when this displacement is reached.
Equation of constant acceleration
Difficulty: ★★★A particle has initial velocity 5 m s-1, displacement 6 m, and acceleration \(-2\) m s-2. If it has changed direction during the motion, what is its final velocity?
Equation of constant acceleration
Difficulty: ★★★A particle has displacement 60 m, final velocity 13 m s-1, and acceleration 1 m s-2. If it has not changed direction, what is its initial velocity?
Equation of constant acceleration
Difficulty: ★★☆A particle has displacement 18 m, initial speed 3 m s-1, and acceleration 2 m s-2. Find its final velocity.
Direction and interpreting the sign
Difficulty: ★★☆In the previous question, why is it not necessary to say whether the object has changed direction?
Braking to a stop
Difficulty: ★★☆A car is moving at 20 m s-1 when the driver brakes at a constant rate of 4 m s-2 and stops at a traffic light. How far from the light was the car when braking began?
Take-off acceleration
Difficulty: ★★☆An aeroplane starts from rest and reaches 60 m s-1 over a runway 400 m long. Assuming constant acceleration, find the acceleration.
Runway length from take-off speed
Difficulty: ★★☆An aeroplane starts from rest and accelerates uniformly at 4 m s-2. It must reach 80 m s-1 to take off. What minimum runway length is needed?
Deceleration to rest over a fixed distance
Difficulty: ★★☆A motorcyclist is 40 m from a red traffic light and is moving at 20 m s-1. She comes to rest exactly at the light. Assuming constant acceleration, what deceleration does she experience?
Coasting to a traffic light
Difficulty: ★★★A driver is 240 m from some traffic lights and moving at 30 m s-1. He does not brake, but the car slows uniformly and reaches the lights 12 s later, exactly as they turn green. At what speed does he pass the lights?
Modelling assumptions for coasting
Difficulty: ★★☆In the previous traffic-light model, which assumption is the most important?
Constant-acceleration equations: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
A particle initially moves right at \(\displaystyle \frac{3m}{s}\) and has constant acceleration \(\displaystyle \frac{1m}{s^{2}}\) to the right for 3 s. Take right as positive.
Find its final velocity in m/s.
Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.
Constant-acceleration equations: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
A particle initially moves right at \(\displaystyle \frac{4m}{s}\) and has constant acceleration \(\displaystyle \frac{2m}{s^{2}}\) to the right for 4 s. Take right as positive.
Find its final velocity in m/s.
Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.
Constant-acceleration equations: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
A particle initially moves right at \(\displaystyle \frac{4m}{s}\) and has constant acceleration \(\displaystyle \frac{2m}{s^{2}}\) to the right for 4 s. Take right as positive.
Find its displacement in m.
Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.
Constant-acceleration equations: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
A particle initially moves right at \(\displaystyle \frac{5m}{s}\) and has constant acceleration \(\displaystyle \frac{3m}{s^{2}}\) to the right for 5 s. Take right as positive.
Find its displacement in m.
Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.
Constant-acceleration equations: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
A particle initially moves right at \(\displaystyle \frac{5m}{s}\) and has constant acceleration \(\displaystyle \frac{3m}{s^{2}}\) to the right for 5 s. Take right as positive.
Find its average velocity during this interval in m/s.
Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.
Constant-acceleration equations: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
A particle initially moves right at \(\displaystyle \frac{6m}{s}\) and has constant acceleration \(\displaystyle \frac{4m}{s^{2}}\) to the right for 6 s. Take right as positive.
Find its average velocity during this interval in m/s.
Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.
Constant-acceleration equations: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
A particle initially moves right at \(\displaystyle \frac{6m}{s}\) and has constant acceleration \(\displaystyle \frac{4m}{s^{2}}\) to the right for 6 s. Take right as positive.
Find the increase in the square of its speed, in \(\displaystyle \frac{m^{2}}{s^{2}}\).
Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.
Constant-acceleration equations: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
A particle initially moves right at \(\displaystyle \frac{7m}{s}\) and has constant acceleration \(\displaystyle \frac{1m}{s^{2}}\) to the right for 2 s. Take right as positive.
Find the increase in the square of its speed, in \(\displaystyle \frac{m^{2}}{s^{2}}\).
Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.
Braking, stopping time and stopping distance: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
A vehicle travels forwards at \(\displaystyle \frac{15m}{s}\). After a reaction interval of \(1\) s at unchanged speed, it brakes with constant deceleration magnitude \(\displaystyle \frac{3m}{s^{2}}\) until its first stop. Ignore all other effects.
Find the braking time in s, excluding reaction time.
Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.
Braking, stopping time and stopping distance: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
A vehicle travels forwards at \(\displaystyle \frac{16m}{s}\). After a reaction interval of \(\displaystyle \frac{3}{2}\) s at unchanged speed, it brakes with constant deceleration magnitude \(\displaystyle \frac{4m}{s^{2}}\) until its first stop. Ignore all other effects.
Find the braking time in s, excluding reaction time.
Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.
Braking, stopping time and stopping distance: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
A vehicle travels forwards at \(\displaystyle \frac{16m}{s}\). After a reaction interval of \(\displaystyle \frac{3}{2}\) s at unchanged speed, it brakes with constant deceleration magnitude \(\displaystyle \frac{4m}{s^{2}}\) until its first stop. Ignore all other effects.
Find the braking distance in m, excluding reaction distance.
Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.
Braking, stopping time and stopping distance: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
A vehicle travels forwards at \(\displaystyle \frac{17m}{s}\). After a reaction interval of \(2\) s at unchanged speed, it brakes with constant deceleration magnitude \(\displaystyle \frac{5m}{s^{2}}\) until its first stop. Ignore all other effects.
Find the braking distance in m, excluding reaction distance.
Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.
Braking, stopping time and stopping distance: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
A vehicle travels forwards at \(\displaystyle \frac{17m}{s}\). After a reaction interval of \(2\) s at unchanged speed, it brakes with constant deceleration magnitude \(\displaystyle \frac{5m}{s^{2}}\) until its first stop. Ignore all other effects.
Find the reaction distance in m.
Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.
Braking, stopping time and stopping distance: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
A vehicle travels forwards at \(\displaystyle \frac{18m}{s}\). After a reaction interval of \(\displaystyle \frac{1}{2}\) s at unchanged speed, it brakes with constant deceleration magnitude \(\displaystyle \frac{2m}{s^{2}}\) until its first stop. Ignore all other effects.
Find the reaction distance in m.
Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.
Braking, stopping time and stopping distance: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
A vehicle travels forwards at \(\displaystyle \frac{18m}{s}\). After a reaction interval of \(\displaystyle \frac{1}{2}\) s at unchanged speed, it brakes with constant deceleration magnitude \(\displaystyle \frac{2m}{s^{2}}\) until its first stop. Ignore all other effects.
Find the full stopping distance from the start of the reaction interval, in m.
Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.
Braking, stopping time and stopping distance: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
A vehicle travels forwards at \(\displaystyle \frac{19m}{s}\). After a reaction interval of \(1\) s at unchanged speed, it brakes with constant deceleration magnitude \(\displaystyle \frac{3m}{s^{2}}\) until its first stop. Ignore all other effects.
Find the full stopping distance from the start of the reaction interval, in m.
Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.