A devout halloweener not only dressed as an astronaut, but travelled to the moon for the full experience. The astronaut jumps on the moon with an initial upward velocity of 2.98m/s. If the acceleration of gravity on the moon is - 1.62m/s2, what is the highest the astronaut jumps?

Question

Physics

Emelia

6 June, 23:53

A devout halloweener not only dressed as an astronaut, but travelled to the moon for the full experience. The astronaut jumps on the moon with an initial upward velocity of 2.98m/s. If the acceleration of gravity on the moon is - 1.62m/s2, what is the highest the astronaut jumps?

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Answers (1)

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Kyson Dudley · Answer 1

2.78 m

Explanation:

At the peak, the velocity is 0.

Given:

a = - 1.6 m/s²

v₀ = 2.98 m/s

v = 0 m/s

x₀ = 0 m

Find:

x

v² = v₀² + 2a (x - x₀)

(0 m/s) ² = (2.98 m/s) ² + 2 (-1.6 m/s²) (x - 0 m)

x = 2.775 m

Rounded to 3 sig-figs, the astronaut halloweener reaches a maximum height of 2.78 meters.