Question

A slingshot fires a pebble from the top of a building at a speed of 17.9 m/s. The building is 36.0 m tall. Ignoring air resistance, find the speed with which the pebble strikes the ground when the pebble is fired in the following directions.

Answers

no directions given.
But since the horizontal speed h is constant at 17.9 cosθ,
and the vertical speed is 17.9 sinθ - gt,
you just need to find t when the height is zero:
36 + 17.9 sinθ t - 4.9t^2 = 0
and then the speed on impact is
√((17.9 sinθ - 9.8t)^2 + (17.9 cosθ)^2)

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