A small electric car has a maximum constant acceleration of 1 ,m … - Vidyadip

MCQ

A small electric car has a maximum constant acceleration of $1\,m / s ^2$, a maximum constant deceleration of $2\,m / s ^2$ and a maximum speed of $20\,m / s$. The amount of time it would take to drive this car $1\,km$ starting from rest and finishing at rest is $.........\,s$

A
$15$
B
$50$
C
$35$
✓
$65$

✓

Answer

Correct option: D.

$65$

d
(d)

Car will acquire maximum speed i.e. $20\,m / s$ in $20\,s$ with an acceleration of $1\,m / s ^2$.In retardation, it will take $10\,s$. Suppose it moves with constant speed of $20\,m / s$ of $t$ second. Then,

Area of $v-t$ graph $=$ Total displacement or $\frac{1}{2}[t+30+t] \times 20=1000$ or

$\therefore$ Total time of journey $=(30+t)=65\,s$

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