Question

A car accelerates uniformly, passing a first checkpoint with velocity 20 m s-1, andpassing a second checkpoint with velocity 32 m s-1, after 4 seconds.a)Sketch a velocity-time graph to show this information.b)Use the velocity-time graph to find each of the following.C)The acceleration of the car during the 4 seconds.The total distance travelled by the car during the 4 seconds.

Answer 1

Part a: velocity-time graph

Where t is time in seconds after reaching the first checkpoint.

Part b:

Acceleration = change in velocity/time

a = (v2-v1)/t

v2: final velocity, v1: initial velocity, t: time

Let's keep track of all the variables we know:

v2 = 32 m/s, v1 = 20 m/s, t = 4 s

Now let's plug all the known variables in:

a = (32-20)/4 = 12/4

a = 3 m/s^2

d = (v1)*t + (a*t^2)/2

Let's keep track of all the variables we know:

v1 = 20 m/s, t = 4 s, a = 3 m/s^2

Now let's plug all the known variables in:

d = 20*4 + (3*4^2)/2 = 80 + 48/2 = 80 + 24

d = 104 m

/s