Velocity$-$time graph for the motion of an object in a straight path is a straight line parallel to the time axis.

$(a)$ Identify the nature of motion of the body.

$(b)$ Find the acceleration of the body.

$(c)$ Draw the shape of distance-time graph for this type of motion.

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$(a)$ If the speed $-$ time graph is a straight line parallel to the time axis, the object moves with a constant speed and the motion is uniform.

$(b)$ Since velocity is constant, therefore, acceleration is zero.

$(c)$ The distance-time graph is as shown

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Similar Questions

An object is moving along a straight line with uniform acceleration. The following table gives the velocity of the object at various instants of time

Time $(s)$ $0$ $1$ $2$ $3$ $4$ $5$ $6$
Velocity $\left( m s ^{-1}\right)$ $2$ $4$ $6$ $8$ $10$ $12$ $14$

Plot the graph.

From the graph.

$(i)$ Find the velocity of the object at the end of $2.5 sec$

$(ii)$ Calculate the acceleration.

$(iii)$ Calculate' the distance covered in the last $4$ sec.

Ali while driving to school computes the average speed for his trip to be $20\, km h^{-1}$. On his return trip along the same route there is less traffic and the average speed is $30\, km h^{-1} .$ What is the average speed for Ali's trip ?

A car is moving on a straight road with uniform acceleration. The following table gives the speed of the car at various instants of time.

Time $(s)$ $0$ $10$ $20$ $30$ $40$ $50$
Speed $\left(m s^{-1}\right)$ $5$ $10$ $15$ $20$ $25$ $30$

$(i)$ Draw the speed$-$time graph representing the above set of observations.

$(ii)$ Find the acceleration of the car.

Study the given graph and answer the following questions

$(i)$ Which part of the graph shows accelerated motion ?

$(ii)$ Which part of the graph shows retarded motion ?

$(iii)$ Calculate the distance travelled by the body in first $4$ seconds of journey graphically.

Name the physical quantities denoted by

$(i)$ The slope of the distance$-$time graph.

$(ii)$ The area under velocity$-$time graph.

$(iii)$ The slope of velocity$-$time graph.