SELF ASSESSMENT Question 1 Describe the differences between scalar quantity and vector quantity and give two examples. Question 2 Define the following terms and their SI unit. i) Velocity ii) Displacement iii) Acceleration Question 3 What are the differences between velocity and speed? Question 4 What are the differences between distance and displacement? Question 5 A car accelerates at 8 ms-2 from an initial velocity of 4 ms-1 for 10 seconds. Find; i. The final velocity, ii. The distance travelled by the car. Question 6 A car accelerates from 8 m/s to 25 m/s at 2 m/s2. Find; i. the time taken ii. The distance travelled during the acceleration? Question 7 A car is moving with a velocity of 70 km/h. After that its start decelerates uniformly and stops at a distance of 15 m. find the deceleration of the car (assuming it is uniform) Question 8 A car starts from rest and accelerates uniformly at 4m/s2 for 22 s. i. What is its final speed? ii. How far it has travels in this time? Question 9 A runner runs from the starting line and achieves a velocity of 10 ms-1 in 3 seconds. i. Calculate his acceleration. ii. If the acceleration is constant, calculate the displacement traveled in 7seconds. Question 10 The speed of a car decreases uniformly from 35 ms-1 to 20 ms-1 over a distance of 80 m. Calculate i. The deceleration of the car ii. The time taken by the car Question 11 An object starts from rest and accelerates uniformly at a rate of 4 m/s2 for 25 s. Determine how far it travelled for the whole duration. Question 12 A car starts from rest and accelerates at a constant acceleration of 4 ms-2 for 6 seconds. The car then moves at a constant velocity for 11 seconds. The brake is then applied and the car comes to complete stops in 8 seconds. i. What is the maximum velocity attained by the car? ii. Plot a velocity-time graph for the whole journey iii. From the graph plotted, determine the total distance travelled Question 13 A car is driven by a junior driver at a velocity of 110 kmh-1. The driver notice a cow is standing on the road 88 m in front of him. He instantly applies the brakes and the car is stops after 9 seconds. i. What is the deceleration of the car? ii. Calculate the distance travelled after the brakes are applied. iii. Is the driver able to avoid hitting the cow? Question 14 A car starts from rest and accelerates uniformly to 35 m/s over a period of 15 seconds. The car then maintained the velocity for 25 seconds. The velocity is then reduced uniformly to 15 m/s in 10 seconds and finally brought to rest after another further 10 seconds. i. Sketch the Velocity – Time graph for the journey. ii. Calculate the acceleration for the first 15 seconds iii. Find the total distance travelled by the car.
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