Deceleration Kinematics: Solving for Time to Rest
An object moving in a straight line begins slowing down due to a constant negative acceleration. The acceleration is given by \(a(t) = -3\ \text{m/s}^2\) with an initial velocity of \(v(0) = 20\ \text{m/s}\). (a) Determine the velocity function \(v(t)\) by integrating the acceleration function using the given initial condition. (b) Find the time \(t\) […]