You are trying to find out how high you have to pitch a water balloon in order for it to burst when it hits the ground. you discover that the balloon bursts when you have pitched it to a height of 16 m. with what velocity did the balloon hit the ground? the acceleration of gravity is 9.8 m/s 2 . the positive direction is up, so the velocity when it hits is negative. answer in units of m/s.

-17.7 m/s

The maximum height achieved by balloon,

The instantaneous velocity at the maximum height,

The balloon free falls under gravity,

Using the equation of motion:

where, is the final velocity, is the initial velocity, is the acceleration and is the distance covered.

Substitute the values:

We will consider only the negative value, as the positive direction is considered upwards.

when two balls of the different masses are dropped from equal height, they reach the ground at the same time .this is because they experience the same acceleration.

the acceleration is independent of mass.

thus when they are dropped they will always maintain the same velocity and travel the same distance (neglect air resistance of course) at the same time.