Assertion :A ball is projected with $60 m s^{- 1}$ at $60^{0}$ with the horizontal simultaneously a toy car starts moving with $30 m s^{- 1}$ from the same point and in the same horizontal direction as the ball moves. The ball always lies above the toy car. Reason: Bodies moving with same uniform component velocity cover equal displacements in equal intervals of time.

If both Assertion and Reason are true and the Reason is correct explanation of the Assertion.

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If both Assertion and Reason are true, but Reason is not correct explanation of the Assertion.

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If Assertion is true, but the Reason is false.

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If Assertion is false, but the Reason is true.

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Solution

The correct option is A If both Assertion and Reason are true and the Reason is correct explanation of the Assertion.
$V = 60 m / s$
$V_{x} = 60 cos 60^{0} = 60 / 2 = 30 m / s$
$V_{1} = 30 m / s$
Velocity in horizontal direction is same for toy and ball at any time. Hence ball and toy will cover equal distances in $x$ direction.

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The correct option is A If both Assertion and Reason are true and the Reason is correct explanation of the Assertion.V=60 m/sVx=60cos600=60/2=30m/sV1=30m/sVelocity in horizontal direction is same for toy and ball at any time. Hence ball and toy will cover equal distances in x direction.