Physics

Problem

A projectile is launched from ground level with an initial velocity of

50\,\text{m/s}

at an angle of

53^{\circ}

with the horizontal. A vertical cliff of height

60\,\text{m}

is located at a horizontal distance of

160\,\text{m}

from the launch point. Determine whether the projectile lands on the plateau atop the cliff, hits the vertical face of the cliff, or falls short before reaching the cliff. (Take

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

\sin 53^{\circ} = 0.8

\cos 53^{\circ} = 0.6

)

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