Kinematics – Questions

1. A car accelerates uniformly through three gear change with the following average speed;

20ms-1 for 2.0 s40ms-1 for 2.0 s60ms-1 for 6.0 s

What is the overall average speed of the car? 2. Daniel is driving his car at a constant velocity of 20ms-1. He steps on his brake to reduce the velocity of the car to 10ms-1 after travelling 30m. Calculate the deceleration and the distance travelled before the car stops? 3. A stone is dropped from rest from a height of 20m. At the same time, a stone is thrown upwards from the ground with a speed of 17ms-1. At what height do their paths intersect? 4. A speedboat moves due to north for 12km before turning to east for 8km. Later, the speedboat moves south for another 6km. Find

i) what is the displacement of the speedboat from its original displacement?ii) the average velocity, in ms-1, if the total time taken is 10 minutes?

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