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STD 11 - 2. motion in straight line — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 11 - 2. motion in straight line4 Marks
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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