Q2-32E - University Physics with Modern Physics

Question

Two cars, \(A\) and \(B\), move along the \(x\)-axis. Figure E2.32 is a graph of the positions of \(A\) and \(B\) versus time. (a) In motion diagrams (like Figs. 2.13b and 2.14b), show the position, velocity, and acceleration of each of the two cars at \(t = 0,t = 1{\rm{ s}}\) and \(t = 3{\rm{ s}}\).

Step-by-Step Solution

Answer

Hence, these are the required graphs.

Step 1: Velocity and Acceleration

The measurement of change of displacement with respect to time is known as velocity, whereas that of velocity with respect to time is known as acceleration.

Step 2: Graphs (a)

Two cars \(A{\rm{ and }}B\) moving along \(x - {\rm{axis}}\).

The graphs for position, velocity and acceleration at \(t = 0,\,t = 1{\rm{ and }}t = 3\) second for car \(A\) are:

Step 3: Graphs

Similarly, the graphs for position, velocity and acceleration at \(t = 0,\,t = 1{\rm{ and }}t = 3\) second for car \(B\) are:

Hence, these are the required graphs.