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What is the magnitude of the acceleration of gravity on the planet? A physics cart moves up along a smooth ramp.

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An astronaut on a strange new planet finds that she can jump up to a maximum height of 27. meters when her initial upward speed is 6.0
m/s. What is the magnitude of the acceleration of gravity on the planet?

a. 0.50 m/s^2
b. 0.67 m/s^2
c. 1.0 m/s^2
1. .5 m/s^2

A physics cart, after having been given a push, moves up along a smooth ramp. Neglecting friction, it will

a. have a varying acceleration along the hill
b. have the same acceleration, both up the hill and down the hill.
c. have a constant acceleration up the hill, but a different constant acceleration when it comes back down the hill.
d. travel at constant velocity.

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With good explanations and full calculations, the problems are solved.

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