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The acceleration of a body in motion can...

The acceleration of a body in motion can be known from slope of

A

force-time graph

B

work-time graph

C

displacement-time graph

D

velocity-time graph

Text Solution

Verified by Experts

The correct Answer is:
D
As we know, acceleration of a body in motion is change in velocity with time. So, it can be shown by velocity-time graph.
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The acceleration of a moving body can be found from

1.The acceleration of a moving body can be found from (A) Area under velocity-time graph (B) Area under distance-time graph (C) Slope of the velocity-time graph (D) Slope of distance-time graph

Acceleration of a body can be……. Only if…….

[" The acceleration of a "],[" moving body can be found "],[" from "],[" (A) Area under velocity - time graph "],[" (B) Area under distance - time graph "],[" (C) Slope of the velocity - time graph "],[" (D) Slope of distance - time graph "]

Assertion : The equation of motion can be applied only if acceleration is along the direction of velocity and is constant. Reason : If the acceleration of a body is constant then its motion is known as uniform motion.

Graphs are very useful to represent a physical situation. Various quantities can be easily represented on graphs and other quantites can be determined from the graph. For example the slope of velocity-time graph represents instantaneous acceleration. For a motion with constant acceleration slope of velocity-time graph is constant. If acceleration is changing with time, slope with change and thus velocity-time graph will be a non-linear curve. Further the area of velocity-time graph gives displacement. The velocity-time graph for two objects P and Q are shown. The ratio of their respective acceleration is

Graphs are very useful to represent a physical situation. Various quantities can be easily represented on graphs and other quantites can be determined from the graph. For example the slope of velocity-time graph represents instantaneous acceleration. For a motion with constant acceleration slope of velocity-time graph is constant. If acceleration is changing with time, slope with change and thus velocity-time graph will be a non-linear curve. Further the area of velocity-time graph gives displacement. For the given velocity-time graph the possibly correct acceleration-time relationship is

Graphs are very useful to represent a physical situation. Various quantities can be easily represented on graphs and other quantites can be determined from the graph. For example the slope of velocity-time graph represents instantaneous acceleration. For a motion with constant acceleration slope of velocity-time graph is constant. If acceleration is changing with time, slope with change and thus velocity-time graph will be a non-linear curve. Further the area of velocity-time graph gives displacement. For the above situation let t_(1) be the time of accelerated motion and t_(2) be the time or retarded motion, then the correct relation is