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Question: A ball is thrown with a velocity 6\(\widehat{j}\) with an acceleration \(6\widehat{i} + 2\widehat{j}...

A ball is thrown with a velocity 6j^\widehat{j} with an acceleration 6i^+2j^6\widehat{i} + 2\widehat{j}. The velocity of the ball after 5 seconds is

A

30i^+10j^30\widehat{i} + 10\widehat{j}

B

30i^+16j^30\widehat{i} + 16\widehat{j}

C

10i^+24j^10\widehat{i} + 24\widehat{j}

D

None of these

Answer

30i^+16j^30\widehat{i} + 16\widehat{j}

Explanation

Solution

using v = u + at vx = 6(5) = 30 ms-1

vy = 6 + 2(5) = 16 ms-1 v = 30i^+16j^30\widehat{i} + 16\widehat{j}