Velocity - time graph of a car is given below. car weighs 1000, kg . (i) distance travelled by car i

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7. MOTION

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The velocity$-$time graph of a car is given below. The car weighs $1000\, kg$.

$(i)$ What is the distance travelled by the car in the first $2$ seconds ?

$(ii)$ What is the braking force at the end of $5$ seconds to bring the car to a stop within one second ?

Option A

Option B

Option C

Option D

Solution

The distance fravelled by the car in first $2$ seconds $=$ Area of $\Delta ABE$

$=1 / 2 \times AE \times BE$

$=1 / 2 \times 2 \times 15=15 m$

Mass of the car $=1000\, kg$

$F=m \times a,$ where $a=$ slope of the graph $CD$

$a=\frac{0-15}{6-5}=\frac{-15}{1}=-15 m s ^{-2}$

$F =m \times a=1000 \times-15=-15000 N$

Standard 9

Science

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