A particle moving in a straight line passes a fixed-point O with velocity 10 ms -1 .

Question:

A particle moving in a straight line passes a fixed-point O with velocity 10 ms-1. Its acceleration a ms-2, t seconds after passing through O is given by a = 3 – 2t.

a. Find the value of t when the particle is instantaneously at rest.

b. Sketch the velocity-time graph for the motion of the particle.

c. Find the total distance travelled in the first 7 seconds of its motion. Give your answer correct to 3 sf.

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