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:
[tex]v=u+at[/tex]
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
[tex]a=3.5m/s^2[/tex] is the acceleration
Solving for t, we find the time taken for this change in velocity:
[tex]t=\frac{v-u}{a}=\frac{34.5-3}{3.5}=9 s[/tex]
Learn more about acceleration:
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