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Question

# Assertion :If a body is projected obliquely at angle θ above horizontal with initial speed v then its speed at the instant when its velocity makes an angle α above the horizontal is vcosθcosα Reason: Horizontal component of velocity of projectile remains constant.

A
Both Assertion and Reason are true and the Reason is correct explanation of the Assertion.
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B
Both Assertion and Reason are true, but Reason is not correct explanation of the Assertion.
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C
Assertion is true, but the Reason is false.
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D
Assertion is false, but the Reason is true.
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Solution

## The correct option is A Both Assertion and Reason are true and the Reason is correct explanation of the Assertion.At any time vx=vcosθ⇒constant.Assume velocity is v′ at any moment making an angle α with horizontal.Hence, vx=vcosθ=v′cosα ⇒v′=vcosθcosα

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