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AP® Physics C: Mechanics

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Momentum and Collisions: Ice Skater Flying Leap

APPHMC-QJNH47

Tatiana, a $60 \text{ }kg$ figure skater, starts from rest and accelerates towards her partner. Naeem, whose mass is $90 \text{ }kg$, is standing ready to catch Tatiana.

Tatiana's acceleration, in $m/s^2$, is given by $ a=\cfrac{1}{5} t^2-\cfrac{1}{2}t+1$.

Determine Naeem and Tatiana's speed, right after he catches her, at $t=5s$.

A

$0.60\text{ }m/s$

B

$1.5\text{ }m/s$

C

$2.8\text{ }m/s$

D

$7.1\text{ }m/s$

E

$7.8\text{ }m/s$