Question

A body starts from rest with uniform acceleration. If its velocity after n seconds is v then assuming straight line motion, its displacement in last two seconds is

Answer 1

The displacement in the last two seconds for a body starting from rest with uniform acceleration can be found using kinematic equations, but a specific numerical answer requires the value of the acceleration.

Step-by-step explanation:

A body starts from rest with uniform acceleration, and its velocity after n seconds is v. To find the displacement in the last two seconds, we can use kinematic equations. However, without the actual value of the acceleration, we cannot provide a numerical answer, but we can establish the way to find this displacement.

1. Calculate the velocity at n-2 seconds using the equation v = u + at, where u is the initial velocity (0 m/s), a is the acceleration, and t is the time (n-2 seconds, since we're looking for the speed two seconds before the final time).
2. Determine the final velocity, which is the velocity at n seconds.
3. Use the equation s = ut + (1/2)at2 to calculate the displacement for the last two seconds. In this case, u is the velocity at n-2 seconds, t is 2 seconds, and a is the acceleration.

Remember that for uniform acceleration, the area under the velocity-time graph in the last two seconds will give us the displacement in that interval.