Thread: Dynamics 4

Hello Everyone, please help me on this dynamics questions!

A particle moving along a straight line experiences a retardation of 1 + v^2 cm/s^2 when it is travelling at v cm/s. If initially the velocity of the particle is u cm/s, show that it comes to rest instantaneously after Tan^-1 u s. How far has it travelled in this time?

Originally Posted by Modernized

Hello Everyone, please help me on this dynamics questions!

A particle moving along a straight line experiences a retardation of 1 + v^2 cm/s^2 when it is travelling at v cm/s. If initially the velocity of the particle is u cm/s, show that it comes to rest instantaneously after Tan^-1 u s. How far has it travelled in this time?

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Solve for v as a function of t, subject to the condition v = u when t = 0.

Substitute v = 0 and solve for t.

Solve for x as a function of t, subject to the condition x = 0 when t = 0. Substitute the value of t found above and solve for x.