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Match List A with List B.
A body is projected with a velocity $40 \sqrt{2} {ms}^{- 1}$ at $45 º$ to horizontal. It is moving in xy-plane. $(g = 10 {ms}^{- 2})$

List – A List – B
a. Change in velocity after 1s is d. $40 m s^{- 1}$
b. Speed of projectile after 1s is e. $10 m s^{- 1}$
c. X-component of velocity after 1s is f. $50 m s^{- 1}$

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a – f, b – e, c – d

a – d, b – e, c – f

a – e, b – f, c – d

a – e, b – d, c – f

answer is B.

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Detailed Solution

$\bar{u} = 40 \sqrt{2} \cos 45 \bar{i} + 40 \sqrt{2} \sin 45 \bar{j}$
$= 40 \bar{i} + 40 \bar{j}$
a) $Δ V = a . Δ t = 10 \times 1 = 10 m s^{- 2}$
b) $V^{2} = v_{x}^{2} + v_{y}^{2}$ and $V_{y} = u_{y} - g t$
c) $V_{x} = u \cos θ$

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