Question

Qno 6:- Velocity time graph for the
motion of a body is shown below:-
A) which part of the graph shoes
accelerated motion? also calculate
the acceleration
B) which part of the graph shows
retarded motion? also calculate the
retardation
C) calculate the distance travelled by
the body in first 10 seconds. (5)

Answer 1

a)Part OA shoes acceleration

$acc = area \: under \: the \: \: graph \\ a = \frac{1 \times base \times height}{2} \\ a = \frac{4 \times 4}{2} = 8 \frac{m}{ {s}^{2} }$

b)BC shows decceleration

$a = \frac{1 \times 6 \times 4}{2} \\ a = - 12 \frac{m}{ {s}^{2} }$

c)Distance travelled by the body in first 10 sec

= area of triangle+area of rectangle

$s = \frac{4 \times 4}{2} + 6 \times 4 \\ s = 8 + 24 \\ s = 32m$

I HOPE THIS HELPS ( ╹▽╹ )