An engineer is designing a runway for a witch. Several brooms will use the runway and the engineer must design it so that it is long enough for the largest brooms to become airborne before the runway ends. If the largest broom accelerates at 3.30 m/s^2 and has a liftoff speed of 88.0 m/s, what is the minimum allowed length for the runway?

Question

Physics

Dawson Morrow

7 June, 07:28

An engineer is designing a runway for a witch. Several brooms will use the runway and the engineer must design it so that it is long enough for the largest brooms to become airborne before the runway ends. If the largest broom accelerates at 3.30 m/s^2 and has a liftoff speed of 88.0 m/s, what is the minimum allowed length for the runway?

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Answers (1)

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Daniel Adkins · Answer 1

1170 m

Explanation:

Given:

a = 3.30 m/s²

v₀ = 0 m/s

v = 88.0 m/s

x₀ = 0 m

Find:

x

v² = v₀² + 2a (x - x₀)

(88.0 m/s) ² = (0 m/s) ² + 2 (3.30 m/s²) (x - 0 m)

x = 1173.33 m

Rounded to 3 sig-figs, the runway must be at least 1170 meters long.