Two cars, A and B, move along the x-axis. (Figure 1) shows a graph of the positions of A and B versus time. Car A moves with constant acceleration.

Graph velocity versus time for A.
Plot values for velocity at t = 0, 1, 2, 3, and 4 seconds.

Question

Two cars, A and B, move along the x-axis. (Figure 1) shows a graph of the positions of A and B versus time. Car A moves with constant acceleration.

Graph velocity versus time for A.
Plot values for velocity at t = 0, 1, 2, 3, and 4 seconds.

fable · Answer

this is the image that goes along with this problem. im not quite sure how to do this one because it is an exponential function

raffle_snaffle · Answer

Hmmm I feel like there is a bit of info that is missing.

jiteshmeghwal9 · Answer

Since car A is moving with constant acceleration. Hence we can apply equation of motions here.
$$x=ut+\frac{1}{2}at^2$$

jiteshmeghwal9 · Answer

From graph of car A let's put values of x & t at two different times in the equation for motion.

at t=3 sec, car A is at x=12 m
$12=3u+\frac{1}{2}a(3)^2$.......(1)
also at t=2 sec, car A is at x=8m
$8=2u+\frac{1}{2}a(2)^2$..........(2)

jiteshmeghwal9 · Answer

use equations (1) & (2) to find initial velocity 'u' & acceleration 'a' of car A.

jiteshmeghwal9 · Answer

now u may apply the equation 'v=u+at' & plot the velocity versus time graph for car 'A'.