# Question #17328

##### 1 Answer

Please follow the following steps

#### Explanation:

The object is thrown so it moves up with an initial vertical velocity of

Ignoring air friction horizontal component is horizontal motion with constant velocity.

Vertical component takes the object up, reduces due to acceleration due to gravity acting in the opposite direction, becomes zero at a particular instant. Thereafter, the object falls freely.

As both the components are orthogonal these can be treated separately.

Now Vertical displacement

Where

When the object reaches ground we have

Applicable kinematic equation for vertical displacement and other quantities of interest is

Resultant velocity is sum of

Resultant velocity

In vector notation we have selected

.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.

Alternate method of finding vertical component of velocity as the object hits ground.

At the time when object is thrown upwards, its total energy is

As it hits ground all the energy is due to its

This equation gives you the same result

.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.--.-.-.