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Concepts Of Physics MCQ Edition [Volume 1]

Exam: Concepts Of Physics MCQ Edition [Volume 1]
Subject: Physics
Chapter: Rest and Motion Kinematics

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Rest and Motion Kinematics

The figure displays the speed of a car as a function of time....

The figure displays the speed of a car as a function of time. Determine the distance travelled by the car in

8

seconds and its acceleration.
The figure displays the speed of a car as a function of time. Determine the distance travelled by the car in 8 seconds

The figure displays the speed of a car as a function of time. Determine the distance travelled by the car in 8 seconds

Options

A $80 \text{ m}$ , $2.5 \text{ m/s}^2$
B $80 \text{ m}$ , $5.0 \text{ m/s}^2$
C $160 \text{ m}$ , $5.0 \text{ m/s}^2$
D $160 \text{ m}$ , $2.5 \text{ m/s}^2$

Correct answer

A. $80 \text{ m}$ , $2.5 \text{ m/s}^2$

Step-by-step solution

The distance travelled by the car is given by the area under the speed-time graph.

\text{Distance} = \dfrac{1}{2} \times \text{base} \times \text{height}

\text{Distance} = \dfrac{1}{2} \times 8 \times 20 = 80 \text{ m}

The acceleration of the car is equal to the slope of the speed-time graph.

\text{Acceleration} = \dfrac{\Delta v}{\Delta t} = \dfrac{20 - 0}{8 - 0} = 2.5 \text{ m/s}^2

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