Question

A weather balloon is floating at a constant height above the earth when it releases a pack of instruments. If the pack hits the ground with a velocity of –73.5 m/s, how far did the pack fall?

a 7.45 m
b -7.45 m
c 275 m
d - 275 m

Answer 1

c 275 m

Step-by-step explanation:

Given parameters:

Final velocity = 73.5m/s

Unknown:

Height of fall = ?

Solution:

Since the body is falling from rest, U = 0 or initial velocity is 0m/s. Then we use one of the kinematics equation to solve this problem.

V² = U² + 2gH

V is the final velocity

U is the initial velocity

g is the acceleration due to gravity

H is the height

73.5² = 0² + (2 x 9.8 x h)

5402.25 = 19.6h

h = 275.6m