Motion in a Str...

A body starts from rest and moves with uniform acceleration. Which of the following graphs represent its motion?

An object is dropped from rest. Its v-t graph is

v-t graph fr a particle is as shown. The distance travelled in the first 4s is

A boy begins to walk eastward along a street in front of this house and the graph of his position from home is shown in the following figure. His average speed for the whole time interval is equal to

Look at graphs (a) to (d) carefully and indicate which of these possibly represents one dimensional motion of a particle

A body is travelling in a straight line with a uniformly increasing speed. Which of the plot represents the change in distance (s) travelled with time (t)

A particle starts from rest at t = 0 and undergoes an acceleration a in ms^–2 with time t in sec which is as shown.
Which one of the following plot represents velocity V in ms^–1 versus time t in sec?

The velocity-time and acceleration-time graphs of a particle are given as shown in figure
Its position-time graph may be given as

A particle of mass m moves on the x-axis as follows: it starts from rest at t = 0 from the point x = 0 and comes to rest at t = 1 at the point x = 1. No other information is available about its motion at intermediate time (0 < t < 1). If α denotes the instantaneous acceleration of the particle, then)
a. α cannot remain positive for all t in the interval 0 ≤ t ≤ 1
b. |α| cannot exceed 2 at any point in its path
c. |α| must be ≥ 4 at some point or points in its path
d. α must change sign during the motion but no other assertion can be made with the information given.