Answer:
The speed of stone traveling when it hits the ground = 49 m/s
Step-by-step explanation:
Height of drop = 122.5 m
Given that distance the stone travels from its starting point
s(t) = 4.9t²
Substituting height
122.5 = 4.9t²
t² = 25
t = 5 seconds
So after 5 seconds stone hit the ground, we need to find velocity when t = 5 seconds.
Differentiating displacement with respect to time to get velocity,
s'(t) = 4.9 x 2 t = 9.8 t
Velocity when t = 5, s'(5) = 9.8 x 5 = 49 m/s
The speed of stone traveling when it hits the ground = 49 m/s