Physics · Uniformly accelerated motion, velocity-time, position-time graph, relations for uniformly accelerated motion, relative velocity
The acceleration of Particle starting from rest and moving along a straight line
The acceleration of Particle starting from rest and moving along a straight line is as shown. Other than at \( t=0 \) when is the velocity of the object equal to zero?
- A. At \( t=3.5 s \)
- B. During the interval from \( 1 s \) to 3 s
- C. At \( t=5 s \)
- D. At no other time on this graph
Step-by-step solution
The particle starts from rest, so its velocity at any time is given by the area under the acceleration-time graph from t=0 to that time. Considering a typical triangular acceleration graph symmetric about t=2.5 s, the area under the acceleration curve is zero at t=5 s (positive area from 0 to 2.5 s cancels negative area from 2.5 s to 5 s), so the velocity returns to zero at t=5 s.
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