Test: Acceleration- 2 - EmSAT Achieve MCQ

A body is at rest at x = 0. At t = 0, it starts moving in the positive x-direction with a constant acceleration. At the same instant another body passes through x = 0 moving in the positive x direction with a constant speed. The position of the first body is given by x₁(t) after time t and that of the second body by x₂(t) after the same time interval. Which of the following graphs correctly describes (x₁ − x₂) as a function of time t?

An object, moving with a speed of 6.25m/s, is decelerated at a rate given by   where v is the instantaneous speed. The time taken by the object, to come to rest, would be 

The distance travelled by a body moving along a line in time / is proportional to t³.
The acceleration-time (a, t) graph for the motion of the body will be

A goods train accelerating uniformly on a straight railway track, approaches an electric pole standing on the side of track. Its engine passes the pole with velocity u and the guard's room passes with velocity v. The middle wagon of the train passes the pole with a velocity.

Which graph corresponds to an object moving with a constant negative acceleration and a positive velocity?

 A car is standing 200 m behind a bus, which is also at rest. The two start moving at the same instant but with different forward accelerations. The bus has acceleration 2m/s² and the car has acceleration 4m/s². The car will catch up with the bus after at time of -

In a car race on straight road, car A takes a time t less than car B at the finish and passes finishing point with a speed v more than that of car B. Both the cars start, from rest and travel with constant acceleration a₁ and a₂ respectively. Then v is equal to: