Concepts Of Physics MCQ Edition [Volume 1]PhysicsRest and Motion Kinematics
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.
Options
- A80 m , 2.5 m/s ^2
- B80 m , 5.0 m/s ^2
- C160 m , 5.0 m/s ^2
- D160 m , 2.5 m/s ^2
Correct answer
A. 80 m , 2.5 m/s ^2
Step-by-step solution
The distance travelled by the car is given by the area under the speed-time graph. Distance = 1 2 base height Distance = 1 2 8 20 = 80 m The acceleration of the car is equal to the slope of the speed-time graph. Acceleration = v t = 20 - 0 8 - 0 = 2.5 m/s ^2