Question

4. Draw both a position-versus-time graph and a velocity-versus-time graph for an object at rest at x=1m. 5. The figure shows the position-versus-time graphs for two objects, A and B, that are moving along the same axis. At the instant t1 s, is the speed of A greater than, less than, or equa to the speed of B? Explain. b. Do objects A and B ever have the same speed? If so, at what time or times? Explain. 6. Below are six position-versus-time graphs. For each, draw the corresponding velocity-versus-time graph directly below it. A vertical line drawn through both graphs should connect the velocity y, at time with the position s at the same time t. There are no numbers, but your graphs should correctly indicate the relative speeds. a. b.

Answer 1

Here the velocity graph is the same as time axis because the velocity is zero for all time Position vs time graph for a particle at reset The particle will remain parallel on time axis Velocity will remain on the time axis i.e. , it collides with time axis In the position vs time graph, the velocity is given the slope of the curve as v = dx/dt -(1) \r\n which is nothing but the slope of v vs t graph. From the figure we can easily see that the slope of line A is larger than that of B at time t = 1 that means the velocity of A is larger then that of B at t = 1. Both A and B will have the same speed for the time where the curves of A and B are parallel to each other because the slope of two parallel lines are equal. At time around 3s the slope of both curves is same