Question

A ball is released from a hot air balloon moving downward with a velocity of -10.0 meters/second and a height of 1,000 meters. How long did it take the ball to reach the surface of Earth? Given: g = -9.8 meters/second2.

Answer 1

you know, s = ut + 1/2 at²

Here, s = 1000 m

u = 0

a = 10 m/s2

Substitute their values,

1000 = 0 + 1/2 * 10 * t²

2000 = 10 * t²

t² = 2000 /10

t = √200

t = 14.14 s

Step-by-step explanation:

Answer 2

Here, ball is released... and it is in free fall means with zero initial velocity.

We know, s = ut + 1/2 at²
Here, s = 1000 m
u = 0
a = 10 m/s2

Substitute their values,
1000 = 0 + 1/2 * 10 * t²
2000 = 10 * t²
t² = 2000 /10
t = √200
t = 14.14 s

In short, Your Answer would be 14.14 seconds

Hope this helps!