Question

A ball is tossed up from ground. Neglecting the effect of air on motion of the ball,
draw velocity-time graph for motion of the ball. graph​

Answer 1

Given:

A ball is tossed from Ground vertically upwards.

To find:

Velocity-Time graph for motion of the ball ?

Solution:

Let the initial velocity of Projection of ball be "u":

Now , when the ball is being projected upwards, gravity is acting downwards , hence providing a deceleration.

As a result , the ball will have zero final velocity at the highest point.

Applying 1st equation of kinematics:

$\rm \therefore \: v = u + at$

$\rm \implies \: v = u + ( - g)t$

$\rm \implies \: v = u - gt$

$\boxed{ \rm \implies \: v = - gt + u}$

Comparing this equation with :

$\boxed{ \rm \therefore \: y \: = mx + c}$

We can say that the graph will be linear with a negative slope but positive intercept.