Figure shows the position-time graph of one-dimensional motion of a particle. Is it correct to say from the graph that the particle moves

Question

1. Figure shows the position-time graph of one-dimensional motion of a particle. Is it correct to say from the graph that the particle moves in a straight line for t ≤ 0 and on a parabolic path fort> 0? Justify your

2. Can a body have an acceleration without velocity? Justify your answer with a physical situation.

3. The table given below shows the velocity of a car at different times.

Time(s)	0	1	2	3	4	5
Velocity(m/s)	111	16	21	26	31	36

a. Draw acceleration time graph 

b. Find the distance travelled by the car in 6 sec.

Answer 1

1. No. initially the body remains at rest and then the body moves with constant acceleration in a straight line. 

2. Yes, consider the oscillation of simple pendulum. At extreme position, velocity becomes zero and acceleration is non – zero value.

3. The velocity of a car at different times: 

a. acceleration a = \(\frac{16-4}{1-0}\) = 5 m/s 

This value (acceleration is constant throughout the motion. Hence the acceleration time graph will be a straight line parallel to time axis.

b. S = ut +\(\frac{1}{2}\) + 2at² 

= 11 × 6 + \(\frac{1}{2}\) × 5 × 6² 

S = 156m.