Question

A soccer ball is kicked from the edge of a roof at an angle of 30o above the horizontal and an initial velocity of 15 m/s. It lands 50 m away from the building.

How long does it take for the ball to hit the ground?

what is the height of the building?

Answer 1

Concept - The horizontal component of velocity remains constant throughout the motion. Use the horizontal displacement given and the horizontal component of velocity to find the time to reach the ground. For vertical motion consider downward as positive and use equation of kinematics to find the height of the building as shown below.

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