﻿ A particle moves in a straight line with retardation proportional to its displacement. Its loss of kinetic energy for any displacement x is proportional to | Motion in Straight Line

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# Motion in Straight Line

#### Multiple Choice Questions

1.

All the graphs below are intended to represent the same motion. One of them does it incorrectly. Pick it up.

• • • • C. 2.

A body of mass m is accelerated uniformly from rest to a speed v in a time T. The instantaneous power delivered to the body as a function time is given by

• • • • A.  272 Views

3.

A ball is thrown from a point with a speed ν0 at an angle of projection θ. From the same point and at the same instant person starts running with a constant speed ν0/2 to catch the ball. Will the person be able to catch the ball? If yes, what should be the angle of projection?

• yes, 60°

• yes, 30°

• no

• no

A.

yes, 60°

Man will catch the ball if the horizontal component of velocity becomes equal to the constant speed of man i.e. 212 Views

# 4.A particle moves in a straight line with retardation proportional to its displacement. Its loss of kinetic energy for any displacement x is proportional to x2 ex x x

A.

x2

In this problem acceleration (a) is given in terms of displacement (x)  to determine the velocity with respect to position or displacement we have to apply integration method.
From given information a =-kx, where a is acceleration, x is displacement and k is proportionality constant. Let for any displacement from 0 to x , the velocity changes from vo to v 493 Views