Question

A body,at rest,is acted upon by a constant force ( it means acceleration of the body will be constant).

1. What is the nature of the displacement-time graph?

a) straight line
b) parabola
c) Asymmetric parabola
d) Rectangular hyperbola

2. What is the nature of velocity- time graph?

a) straight line
b) Parabola
c) Elliptical
d) Hyperbola

Answer 1

Displacement time graph is parabola and velocity time graph is straight line.

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Answer 2

Answer:

Explanation:

Given that,

A body,at rest,is acted upon by a constant force it means acceleration of the body will be constant.

(1). The displacement-time graph

Using equation of motion

$s = ut+\dfrac{1}{2}at^2$

Here, acceleration is constant

So, $s \propto t^2$

Hence, The displacement-time graph shows the parabola.

(2). The velocity - time graph

Using equation of motion

$v = u+at$

Here, The acceleration is constant

$v \propto t$

Hence, The velocity- time graph shows the straight line