Concepts Of Physics MCQ Edition [Volume 1]PhysicsRest and Motion Kinematics
The velocity-time plot of a particle travelling along a straight line is presented in the figure.
Options
- AThe particle exhibits a constant acceleration.
- BThe average speed in the 0 to 10 s interval is equal to the average speed in the 10 s to 20 s interval.
- CThe particle never turns around.
- DThe displacement of the particle is zero.
Correct answer
B. The average speed in the 0 to 10 s interval is equal to the average speed in the 10 s to 20 s interval.
Step-by-step solution
From the given velocity-time graph, the curve is a straight line. The slope of a v-t graph represents acceleration. Since the slope is constant, the particle exhibits a constant acceleration. Thus, option (1) is correct. The distance covered in a time interval is the magnitude of the area under the v-t graph. For the interval 0 to 10 s : Distance d₁ = 1 2 10 10 = 50 m Average speed = d₁ t = 50 10 = 5 m/s For the interval 10 s to 20 s : From the graph's constant slope, at t = 20 s , the velocity is v = -10 m/s . Dis