A ball is thrown from a point with a speed ν_{0} at an angle of projection θ. From the same point and at the same instant person starts running with a constant speed ν_{0}/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
yes, 45°
A.
yes, 60°
Man will catch the ball if the horizontal component of velocity becomes equal to the constant speed of man i.e.
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.
All the graphs below are intended to represent the same motion. One of them does it incorrectly. Pick it up.
C.
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
x^{2}
e^{x}
x
log_{e}x
A.
x^{2}
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 v_{o} to v