Test: AP Physics C: Mechanics

A pickup truck with a mass of  is travelling along a highway at a velocity of  when the brakes suddenly give out. In order to slow the vehicle, a mass of sand will be dumped into the back of the pickup truck by another vehicle. 

1.

It turns out the truck can only take on an additional  payload without risking structural damage. By how much will the speed of the truck be reduced after  of sand is dumped in the truck bed?

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