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
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.