Classical Mechanics
1D Kinematics
Assume that the escalator and man are both move with constant respective velocities.
The length of a clock's second-hand is \(45\text{ mm}.\) What is the average velocity of the end point of this second hand during any thirty seconds of time?
An object is positioned at \(x=0\) at time \(t=0.\) It accelerates at a rate of \(2.3\text{ m/s}^2\) for \(2.6\) seconds, then it accelerates at a rate of \(-5.2\text{ m/s}^2\) for \(2.4\) seconds. What is the approximate velocity of the object at \(t=4.4\) seconds?
The position of an object moving along the \(x\)-axis with constant acceleration is described as \[x=\frac{7}{2}t^2+3t+6.\] If \(t\) is in seconds and \(x\) is in meters, what is the acceleration of this object?