Question

1. two cars, 1 and 2, are traveling on a straight road. the motion of both cars is shown on the two graphs.

car 1
car 2
which of the following correctly describes both graphs?
both car 1 and car 2 have a constant velocity during the first 4 seconds.
both car 1 and car 2 decelerate between 6 seconds and 8 seconds.
at 5 seconds, car 2 has an acceleration while car 1 has a zero acceleration.
car 1 experiences a constant acceleration while car 2 does not.
clear all

Explanation:

Step1: Analyze velocity - time graph concept

Acceleration is slope of velocity - time graph.

Step2: Check Car 1 at 5s

For Car 1 at \(t = 5s\), the graph is horizontal, so slope \(a_1=0\).

Step3: Check Car 2 at 5s

For Car 2 at \(t = 5s\), the graph is sloping down - ward, so \(a_2
eq0\) (negative acceleration).

Step4: Evaluate other options

• For first 4s, Car 1 is accelerating not constant velocity.
• Between 6 - 8s, Car 1 is decelerating but Car 2 has constant velocity.
• Neither car has constant acceleration as slopes change.

Answer:

At 5 seconds, Car 2 has an acceleration while car 1 has a zero acceleration.