Question

A weather balloon is Floating at a constant height above Earth when it releases a pack hot instruments. If the pack hits the ground with velocity of 0. -73.5 m/s , how far did the packet fall?

Answer 1

Answer:

The pack has fallen 275.6 m

Explanation:

The pack is in free fall, so it is moving by uniform accelerated motion, so we can use the following suvat equation:

$v^2-u^2=2as$

where, choosing upward as positive direction:

v is the final velocity

u is the initial velocity

$a=g=-9.8 m/s^2$ is the acceleration of gravity

s is the vertical displacement

For the pack in this problem,

u = 0

v = -73.5 m/s

Solving for s, we find how far the packet has fallen:

$s=\frac{v^2-u^2}{2a}=\frac{(-73.5)^2-0^2}{2(-9.8)}=-275.6 m$

And the negative sign means the direction of the displacement is downward.