The relationship between acceleration, velocity change and the time taken for the change is given by this formula. \(\text{acceleration}=\frac{\text{change in velocity}}{\text{time taken}}=\ ...

For velocity and acceleration, you need derivatives with respect to time. Recall that you can use the chain rule of differentiation in order to effect the derivative of y with respect to time: dy/dt = ...

On the other hand, the angular acceleration α(t) is the TIME DERIVATIVE of ω(t ... clockwise sense with a constant angular speed of ω AB. In summary, you should never assume that a zero value for ...

A line upwards curving to become flat means that the vehicle is accelerating at a decreasing rate to constant speed. Remember, acceleration is the same as gradient, and acceleration = velocity ...