Areas and gradients on velocity-time graphs: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
A velocity-time graph joins (0,0), (2,11), (5,11) and (7,0) with straight segments. Time is in s and rightward velocity in m/s.
Find the initial acceleration in \(\displaystyle \frac{m}{s^{2}}\).
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.
Areas and gradients on velocity-time graphs: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
A velocity-time graph joins (0,0), (3,12), (7,12) and (10,0) with straight segments. Time is in s and rightward velocity in m/s.
Find the initial acceleration in \(\displaystyle \frac{m}{s^{2}}\).
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.
Areas and gradients on velocity-time graphs: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
A velocity-time graph joins (0,0), (3,12), (7,12) and (10,0) with straight segments. Time is in s and rightward velocity in m/s.
Find the signed acceleration during the final segment in \(\displaystyle \frac{m}{s^{2}}\).
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.
Areas and gradients on velocity-time graphs: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
A velocity-time graph joins (0,0), (4,13), (9,13) and (13,0) with straight segments. Time is in s and rightward velocity in m/s.
Find the signed acceleration during the final segment in \(\displaystyle \frac{m}{s^{2}}\).
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.
Areas and gradients on velocity-time graphs: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
A velocity-time graph joins (0,0), (4,13), (9,13) and (13,0) with straight segments. Time is in s and rightward velocity in m/s.
Find the total 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.
Areas and gradients on velocity-time graphs: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
A velocity-time graph joins (0,0), (5,14), (11,14) and (16,0) with straight segments. Time is in s and rightward velocity in m/s.
Find the total 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.
Areas and gradients on velocity-time graphs: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
A velocity-time graph joins (0,0), (5,14), (11,14) and (16,0) with straight segments. Time is in s and rightward velocity in m/s.
Find the average 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.
Areas and gradients on velocity-time graphs: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
A velocity-time graph joins (0,0), (2,7), (9,7) and (15,0) with straight segments. Time is in s and rightward velocity in m/s.
Find the average 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.
Reversal and signed graph areas: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
A particle has velocity \(\displaystyle \frac{9m}{s}\) at \(\displaystyle t=0\) and constant acceleration \(\displaystyle - \frac{3m}{s^{2}}\) until \(\displaystyle t=7 s\). Positive means right.
Find the time of reversal in 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.
Reversal and signed graph areas: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
A particle has velocity \(\displaystyle \frac{16m}{s}\) at \(\displaystyle t=0\) and constant acceleration \(\displaystyle - \frac{4m}{s^{2}}\) until \(\displaystyle t=9 s\). Positive means right.
Find the time of reversal in 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.
Reversal and signed graph areas: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
A particle has velocity \(\displaystyle \frac{16m}{s}\) at \(\displaystyle t=0\) and constant acceleration \(\displaystyle - \frac{4m}{s^{2}}\) until \(\displaystyle t=9 s\). Positive means right.
Find the final signed 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.
Reversal and signed graph areas: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
A particle has velocity \(\displaystyle \frac{25m}{s}\) at \(\displaystyle t=0\) and constant acceleration \(\displaystyle - \frac{5m}{s^{2}}\) until \(\displaystyle t=11 s\). Positive means right.
Find the final signed 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.
Reversal and signed graph areas: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
A particle has velocity \(\displaystyle \frac{25m}{s}\) at \(\displaystyle t=0\) and constant acceleration \(\displaystyle - \frac{5m}{s^{2}}\) until \(\displaystyle t=11 s\). Positive means right.
Find the total 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.
Reversal and signed graph areas: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
A particle has velocity \(\displaystyle \frac{12m}{s}\) at \(\displaystyle t=0\) and constant acceleration \(\displaystyle - \frac{2m}{s^{2}}\) until \(\displaystyle t=9 s\). Positive means right.
Find the total 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.
Reversal and signed graph areas: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
A particle has velocity \(\displaystyle \frac{12m}{s}\) at \(\displaystyle t=0\) and constant acceleration \(\displaystyle - \frac{2m}{s^{2}}\) until \(\displaystyle t=9 s\). Positive means right.
Find the total distance travelled 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.
Reversal and signed graph areas: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
A particle has velocity \(\displaystyle \frac{6m}{s}\) at \(\displaystyle t=0\) and constant acceleration \(\displaystyle - \frac{3m}{s^{2}}\) until \(\displaystyle t=6 s\). Positive means right.
Find the total distance travelled 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.