Question

1. a car starts from rest at the origin. its velocity - graph is shown below.

what is the cars velocity at 5 seconds? 10 m/s
what is the cars acceleration at 5 seconds? 2 m/s² at 15 seconds? 0 m/s²
c) how far has the car gone after 10 seconds? 100 after 20 seconds? 300
d) when does the car turn around? 25 s
e) when does the car return to the origin? 45 s
f) when is the cars velocity negative? 25 s
g) when the cars acceleration negative? 20
h) identify the physical quantity that can be found from the area of the graph
i) identify the physical quantity that can be found from the slope of the graph

Explanation:

Step1: Recall velocity - time graph concepts

The slope of a velocity - time graph gives acceleration and the area under the velocity - time graph gives displacement.

Step2: Answer part h

The area under a velocity - time graph represents displacement. Displacement is a vector quantity that measures the change in position of an object from its initial point to its final point.

Step3: Answer part i

The slope of a velocity - time graph represents acceleration. Acceleration is the rate of change of velocity with respect to time.

Answer:

h) Displacement
i) Acceleration