Question

In: Physics

you plot the position(x) vs. time(t) for an object moving at a constant acceleration. Will the...

you plot the position(x) vs. time(t) for an object moving at a constant acceleration. Will the slopes (velocity) be constant or not? why?

Expert Solution

.Motion with constant acceleration occurs in everyday life whenever an object is dropped: the object moves downward with the constant acceleration , under the influence of gravity.

1) the graphs of displacement versus time for constant acceleration.

It can be seen that the displacement-time graph consists of a curved-line whose gradient (slope) is increasing in time. This line can be represented algebraically as

Here, is the displacement at time : this quantity can be determined from the graph as the intercept of the curved-line with the -axis.

2) velocity versus time for a body moving with constant acceleration.

Likewise, is the body's instantaneous velocity at time .

The velocity-time graph consists of a straight-line which can be represented algebraically as

CONCLUSION:- The slope taken out from the position vs time graph for constant acceleration depicts the velocity of the body which is not constant as the slope is a curved line. As the acceleration of the body is positive (constant) hence, its velocity is increasing with time as shown in the second graph. so we may say that the motion of the body is non-uniform.

genius_generous answered 2 years ago

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