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AP® Physics 1 & 2

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Difficult

Finding Height of Cliff Through Impulse

APPH12-4PI7NC

A Mercedes C-Class Sedan ($1550$ $kg$) moves along a road at a brisk pace of $125$ $\frac{km}{hr}$. The driver does not notice a bend in the road ahead and continues driving forward, flying horizontally straight off the edge of a cliff at the given velocity. A force sensor on the car survives the crash and records a force (during collision) of $829,500$ $N$.

Assuming a collision time of $0.1$ $s$, how tall was the cliff?

A

$2.73$ $m$

B

$145.97$ $m$

C

$53.52$ $m$

D

$82,950$ $m$