Question

7. How long does it take a ball rolling down a hill to change its speed from 3 m/sec to 34.5 m/sec

Answer 1

The time elapsed is 9 seconds

Explanation:

The motion of the ball is a uniformly accelerated motion (a motion with constant acceleration), so we can use the following suvat equation:

$v=u+at$

where :

v is the final velocity  of the ball

u is the initial velocity

a is the acceleration

t is the time  elapsed

For the ball in this problem, we have:

u = 3 m/s is the initial velocity

v = 34.5 m/s is the final velocity

$a=3.5m/s^2$ is the acceleration

Solving for t, we find the time taken for this change in velocity:

$t=\frac{v-u}{a}=\frac{34.5-3}{3.5}=9 s$

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