Physics

Problem

A golfer hits a ball with a speed of

50\,\text{m/s}

at an angle of

53^{\circ}

to the horizontal. There is a

15\,\text{m}

tall tree located

160\,\text{m}

away in the line of the drive. Determine if the ball clears the tree. (Take

\sin 53^{\circ} = 0.8

\cos 53^{\circ} = 0.6

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

)