Question

The speed of a car as a function of time is shown in the figure(attached up) . Find the distance travelled by the car in 8 seconds and its acceleration .
​

Answer 1

80 m is distance ! Please mark as brainliest

Answer 2

______________________________

$\sf\bold{The\:above\:graph\:says:}$

• $\sf\bold\red{a=slope\:of\:v-t\:graph}$

$\space$

$\sf\bold{here:}$

• $\sf\bold\red{a=acceleration}$

$\space$

$\sf\bold{Find\:acceleration\:by\:v-t\:graph:}$

$\mapsto$ $\sf\small{TanØ =}$ $\sf\dfrac{slope\:of\:y}{slope\:of\:x}$= $\sf\dfrac{20}{8}$ $\sf{m/s^2}$

$\space$

• $\mapsto$ $\sf\underline\bold\purple{a=2.5m/s^2}$

$\space$

$\sf\bold{Now,calculate\:the\:distance:}$

• $\sf\bold{By\:equation\:of\:motion.}$
• $\sf{s=}$ $\sf{ut+}$ $\sf\dfrac{1}{2}$ $\sf{at^2}$

$\space$

$\sf\bold{Given\:parameters:}$

• $\sf\bold{u=0}$
• $\sf\bold{a=5/8}$
• $\sf\bold{t=8}$

$\space$

$\sf\bold{Substituting \: the\:values:}$

$\mapsto$ $\sf\small{s=0+}$ $\sf\dfrac{1}{2}$ $\times$ $\sf\dfrac{5}{8}$ $\sf\small{8^2}$

$\space$

$\longmapsto$ $\sf\underline\bold\purple{S=80m}$

$\space$

❍Therefore , the acceleration is $\sf\bold{2.5m/s^2}$ and the distance traveled by car is $\sf\bold{80m.}$

_______________________________