Question:
A particle starts from rest. Its acceleration (a) versus time (t)
is as shown in the figure. The maximum speed of the particle
will be
A particle starts from rest. Its acceleration (a) versus time (t)
is as shown in the figure. The maximum speed of the particle
will be
Updated On: Sep 22, 2024
- 110 m/s
- 55 m/s
- 550 m/s
- 660 m/s
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The Correct Option is B
Solution and Explanation
Area under acceleration-time graph gives the change in velocity.
Hence, $ \, \, \, \, \, \, v_{max}=1/2 \times 10 \times 11=55 m/s$
Therefore, the correct option is (b).
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Concepts Used:
Motion in a straight line
The motion in a straight line is an object changes its position with respect to its surroundings with time, then it is called in motion. It is a change in the position of an object over time. It is nothing but linear motion.
Types of Linear Motion:
Linear motion is also known as the Rectilinear Motion which are of two types:
- Uniform linear motion with constant velocity or zero acceleration: If a body travels in a straight line by covering an equal amount of distance in an equal interval of time then it is said to have uniform motion.
- Non-Uniform linear motion with variable velocity or non-zero acceleration: Not like the uniform acceleration, the body is said to have a non-uniform motion when the velocity of a body changes by unequal amounts in equal intervals of time. The rate of change of its velocity changes at different points of time during its movement.