Maths4U Original · Short practice

At \(\displaystyle t=0, A\) is at \(\displaystyle x=0\) and moves right at constant speed \(\displaystyle \frac{7m}{s}.B\) is \(98\) m behind A, initially has the same rightward velocity, and then accelerates right at \(\displaystyle \frac{4m}{s^{2}}\). Both clocks start at this instant.

Find the positive time when B catches A, 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.

Maths4U Original · Short practice

At \(\displaystyle t=0, A\) is at \(\displaystyle x=0\) and moves right at constant speed \(\displaystyle \frac{8m}{s}.B\) is \(160\) m behind A, initially has the same rightward velocity, and then accelerates right at \(\displaystyle \frac{5m}{s^{2}}\). Both clocks start at this instant.

Find the positive time when B catches A, 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.

Maths4U Original · Short practice

At \(\displaystyle t=0, A\) is at \(\displaystyle x=0\) and moves right at constant speed \(\displaystyle \frac{8m}{s}.B\) is \(160\) m behind A, initially has the same rightward velocity, and then accelerates right at \(\displaystyle \frac{5m}{s^{2}}\). Both clocks start at this instant.

Find the meeting position measured from A’s initial position, 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.

Maths4U Original · Short practice

At \(\displaystyle t=0, A\) is at \(\displaystyle x=0\) and moves right at constant speed \(\displaystyle \frac{3m}{s}.B\) is \(16\) m behind A, initially has the same rightward velocity, and then accelerates right at \(\displaystyle \frac{2m}{s^{2}}\). Both clocks start at this instant.

Find the meeting position measured from A’s initial position, 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.

Maths4U Original · Short practice

At \(\displaystyle t=0, A\) is at \(\displaystyle x=0\) and moves right at constant speed \(\displaystyle \frac{3m}{s}.B\) is \(16\) m behind A, initially has the same rightward velocity, and then accelerates right at \(\displaystyle \frac{2m}{s^{2}}\). Both clocks start at this instant.

Find B’s velocity at the meeting, 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.

Maths4U Original · Short practice

At \(\displaystyle t=0, A\) is at \(\displaystyle x=0\) and moves right at constant speed \(\displaystyle \frac{4m}{s}.B\) is \(\displaystyle \frac{75}{2}\) m behind A, initially has the same rightward velocity, and then accelerates right at \(\displaystyle \frac{3m}{s^{2}}\). Both clocks start at this instant.

Find B’s velocity at the meeting, 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.

Maths4U Original · Short practice

At \(\displaystyle t=0, A\) is at \(\displaystyle x=0\) and moves right at constant speed \(\displaystyle \frac{4m}{s}.B\) is \(\displaystyle \frac{75}{2}\) m behind A, initially has the same rightward velocity, and then accelerates right at \(\displaystyle \frac{3m}{s^{2}}\). Both clocks start at this instant.

Find B’s speed relative to A at the meeting, 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.

Maths4U Original · Short practice

At \(\displaystyle t=0, A\) is at \(\displaystyle x=0\) and moves right at constant speed \(\displaystyle \frac{5m}{s}.B\) is \(72\) m behind A, initially has the same rightward velocity, and then accelerates right at \(\displaystyle \frac{4m}{s^{2}}\). Both clocks start at this instant.

Find B’s speed relative to A at the meeting, 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.

Maths4U Original · Short practice

A displacement-time graph consists of straight segments joining \(\displaystyle (t,x)= (0,0), (6,13), (9,13)\) and (15,0). Time is in seconds and displacement in metres.

Find the velocity on the first segment, 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.

Maths4U Original · Short practice

A displacement-time graph consists of straight segments joining \(\displaystyle (t,x)= (0,0), (2,14), (3,14)\) and (6,0). Time is in seconds and displacement in metres.

Find the velocity on the first segment, 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.

Maths4U Original · Short practice

A displacement-time graph consists of straight segments joining \(\displaystyle (t,x)= (0,0), (2,14), (3,14)\) and (6,0). Time is in seconds and displacement in metres.

Find the velocity on the final segment, 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.

Maths4U Original · Short practice

A displacement-time graph consists of straight segments joining \(\displaystyle (t,x)= (0,0), (3,15), (5,15)\) and (9,0). Time is in seconds and displacement in metres.

Find the velocity on the final segment, 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.

Maths4U Original · Short practice

A displacement-time graph consists of straight segments joining \(\displaystyle (t,x)= (0,0), (3,15), (5,15)\) and (9,0). Time is in seconds and displacement in metres.

Find the duration of the stationary stage, 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.

Maths4U Original · Short practice

A displacement-time graph consists of straight segments joining \(\displaystyle (t,x)= (0,0), (4,16), (7,16)\) and (12,0). Time is in seconds and displacement in metres.

Find the duration of the stationary stage, 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.

Maths4U Original · Short practice

A displacement-time graph consists of straight segments joining \(\displaystyle (t,x)= (0,0), (4,16), (7,16)\) and (12,0). Time is in seconds and displacement in metres.

Find the average speed over the whole journey, 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.

Maths4U Original · Short practice

A displacement-time graph consists of straight segments joining \(\displaystyle (t,x)= (0,0), (5,8), (6,8)\) and (12,0). Time is in seconds and displacement in metres.

Find the average speed over the whole journey, 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.