Question

In: Physics

A projectile is launched on a planet other than Earth at a velocity of 44.8 m/s...

A projectile is launched on a planet other than Earth at a velocity of 44.8 m/s 30.0^o above the horizontal. The ground slopes down in the direction of travel, so the projectile impacts the ground 47.3 m below the level from which it was launched. If the horizontal distance it travels is 376 m, what is the magnitude of the acceleration of gravity near the surface of the alien planet?

Expert Solution

We know the basic kinematic equations,

................(1)

................(2)

................(3)

Where all the symbols has their ususal meaning.

For convenience, we will devide this problem in two directions.

Motion in horizontal (or X ) direction:

So, the time of flight of the projectilr is

Motion in vertical (or Y ) direction:

Now using the third kinematic equation, we get

or,

Hence, acceleration due to gravity near the surface of the planet is 5.63 m/s2.

genius_generous answered 2 years ago

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