SATHEE: Motion in a Straight Line

Motion in a Straight Line - Result Question 5

5. If a car at rest accelerates uniformly to a speed of $144 k m / h$ in $20 s$ , it covers a distance of [1997]

(a) $2880 m$

(b) $1440 m$

(d) $20 m$

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Answer:

Correct Answer: 5. (c)

Solution:

Final velocity of car $(v) = 144 k m / h r = 40 m / s$

Time taken $= 20 s$

We know that, $v = u + a t$

$40 = a \times 20 \Rightarrow a = 2 m / s^{2}$

Also, $v^{2} - u^{2} = 2$ as

$\Rightarrow s = \frac{v^{2} - u^{2}}{2 a}$

$\Rightarrow s = \frac{(40)^{2} - (0)^{2}}{2 \times 2} = \frac{1600}{4} = 400 m$ .

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Motion in a Straight Line - Result Question 5

5. If a car at rest accelerates uniformly to a speed of 144km/h in 20s, it covers a distance of [1997]

Answer:

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5. If a car at rest accelerates uniformly to a speed of $144 k m / h$ in $20 s$ , it covers a distance of [1997]