SOLUTION: A truck of mass M is driven up a road inclined at angle {{{theta}}} to the horizontal. After its speed has reached u m/s, the engine continues to exert a constant force of F newton

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Question 1180968: A truck of mass M is driven up a road inclined at angle theta to the horizontal. After its speed has reached u m/s, the engine continues to exert a constant force of F newtons. If the resistance R is constant, find the time taken to reach v m/s.
Answer by ikleyn(52802) About Me  (Show Source):
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A truck of mass M is driven up a road inclined at angle theta to the horizontal.
After its speed has reached u m/s, the engine continues to exert a constant force of F newtons.
If the resistance R is constant, find the time taken to reach v m/s.
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The acceleration along the inclined road is  a = %28F-R%29%2FM.


The time to get the speed of v m/s  is  t = %28v-u%29%2Fa = %28%28v-u%29%29%2F%28%28%28F-R%29%2FM%29%29%29 = %28M%2A%28v-u%29%29%2F%28F-R%29.    ANSWER

Solved, answered and explained.