^Projectile thrown straight up
^Projectile thrown straight up
Suppose a body is projected upwards from the ground and with the velocity u. The characteristics of motion of such a body are as follows.
 The maximum height attained
 Time taken to go up (ascent) = Time taken to come down (descent)
 Time of flight
 For an object thrown straight upwards with u = 50 m/s\
 The speed of the body on return to the ground = speed with which it was thrown upwards
 When the height attained is not large, that is u is not large, the mass, the weight as well as the acceleration remain constant with time its speed, velocity, momentum, potential energy and kinetic energy change with time.

 Let m be the mass of the body. Then in going from the ground to the highest point, following changes take place.
 Change in speed = u
 Change in velocity = u
 Change in momentum = m u
Change in KE = Change in PE =

 On return to the ground the changes in these quantities are as follows:
 Change in speed = 0
 Change in velocity = 2 u
 Change in momentum = 2 mu
Change in KE = Change in PE = 0

 If the friction of air be taken into account, then the motion of the object thrown upwards will have the following properties:
 Time taken to go up (ascent) < time
taken to come down (descent)
 The speed of the object on return to the
ground is less than the initial speed. Same is true for velocity (magnitude), momentum (magnitude) and KE.
 Maxi height attained is less than .
 A part of the KE is used up in overcoming
the friction.