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: Â
- A uniform motion (constant velocity) along the horizontal direction Â
- A uniformly accelerated motion, with constant acceleration (acceleration of gravity) in the downward direction Â
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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