The distance travelled by the ball is 43.2 m
Explanation:
The motion of the ball is a projectile motion, which consists of two independent motions:
- A uniform motion (constant velocity) along the horizontal direction
- A uniformly accelerated motion, with constant acceleration (acceleration of gravity) in the downward direction
Here, we want to find the (horizontal) distance travelled by the ball before hitting the ground. Therefore, we can just consider the horizontal motion of the ball.
Since it is a uniform motion, we can write:
[tex]v=\frac{d}{t}[/tex]
where
v = 13.5 m/s is the horizontal speed
t = 3.2 s is the time of flight
Solving for d, we find
[tex]d=vt=(13.5)(3.2)=43.2 m[/tex]
Learn more about projectile motion:
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