A car covers a certain distance. The velocity-time graph for the motion of the car is parallel to the time axis? Which type of motion is executed by the car? *
Accelerated motion
Non-accelerated motion
Non-uniform motion
Uniform accelerated motion
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Answer:
non accelerated motion
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Non-accelerated type of motion is executed by the car.
- The slope of velocity-time(v-t) graph provides acceleration- a =Δv/Δt.
- The area under the v-t graph provides displacement-s.
- Displacement is defined as the shortest distance covered by the car.(s = v × t)
- The slope of the graph is parallel to the time or x axis hence initial and final velocity is the same.(v - 1 point on y or velocity axis).
- Hence, the velocity is constant throughout the journey.
- Therefore a = change in velocity Δv/Δt
- a = 0 as final and initial velocity are the same.
- Hence, it is a non-accelerated motion where the acceleration of the car =0
- In case of uniform accelerated motion, the graph is a straight line, as the acceleration remains constant i.e. not changing, as the rate of change in velocity remains constant - Δv/Δt = constant.
- In the case of non-uniform motion, the body covers an unequal distance in unequal intervals of time.
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