Conceptual Problems with Position-Time Graphs Practice Problems

The figure given below shows the position-versus-time graph describing the motion of a body moving in a straight line. Determine the times at which the velocity is most positive and most negative.

For the situation given, draw a graph of position-versus-time. A cyclist starts cycling from his house and rides at a velocity of 20 mph for the first 3 hours. He moves at a velocity of 25 mph for the next 2 hours and then continues at a speed of 15 mph until he reaches the destination 4 hours later.

A frictionless cart is released on a straight track that is having bends at certain points. The graphs describing the motion of the cart are displayed here. Develop an image of the track on which the cart moves.