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# M3 question! :) watch

A van of mass 1200kg moves along a horizontal straight road. At time t seconds, the resultant force on it has magnitude 60000/(t+5)^2 and acts in the direction of motion of the van. When t=0, the van is at rest. the speed of the van approaches a limiting value Vms^-1.

Find:

A) the value of V,

B) The distance moved by the van in the first 4 seconds of its motion.

Thank you!
2. For part A: you have ; you can evaluate the integral to get a value for V. My answer (jotted on an envelope so may be wrong) is in the spoiler:
Spoiler:
Show
V=10m/s

The distance moved by the van is fairly easy now because you have an expression for its instantaneous velocity at time t':
, so you can integrate both sides again to get an expression for x(t').

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Updated: April 9, 2013
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