Accelerating Bus and Projectile!

A projectile is thrown by a boy inside a bus having an acceleration of 40 3 m/s 2 \dfrac{40}3 \text{ m/s}^2 . At what angle (measured with the horizontal in degrees) should the boy throw the ball so that it returns back to him i.e., he can catch the ball?

Take g = 10 m/s 2 g=10\text{ m/s}^2 .

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1 solution

Tristan Goodman
Mar 5, 2020

The acceleration acts as an artificial horizontal component of the gravitational field, resulting in an increased gravitational pull and an altered direction at which things falls. Treating "g" and the bus's acceleration respectively as the vertical and horizontal components of a vector, we find the angle at which objects fall to be arctan(3/4).

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