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AnnZ [28]
3 years ago
9

A Gatorade bottle is dropped on a waterslide. It accelerates at 4.0 m/s2 for 9.0s from rest. What is the slide’s length?

Physics
1 answer:
Goryan [66]3 years ago
6 0

With an acceleration of 4.0 m/s², the bottle attains a speed of

(4.0 m/s²) * (9.0 s) = 36 m/s

so that the slide has length ∆<em>x</em> such that

(36 m/s)² - 0² = 2 * (4.0 m/s²) * ∆<em>x</em>

==>  ∆<em>x</em> = 162 m ≈ 160 m

Alternatively, we know the bottle covers a distance ∆<em>x</em> with acceleration <em>a</em> at time <em>t</em> according to

∆<em>x</em> = 1/2 <em>a</em> <em>t</em>²

so that

∆<em>x</em> = 1/2 * (4.0 m/s²) * (9.0 s)² = 162 m ≈ 160 m

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