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Question

A ball is projected from ground with a speed of 30 m/s , find θ so that ball passes through point A.  (g=10 ms2)


Your Answer
A
tan1(1)
Correct Answer
B
tan1(3)
Your Answer
C
tan1(2)
Your Answer
D
tan1(4)

Solution

The correct option is B tan1(3)
y=xtanθgx22u2 cos2θ

40=30 tanθ10×/30×/302×/30×/30sec2θ

40=30 tan θ5 sec2θ

8=6 tanθ(1+tan2 θ)

tan2θ6tanθ+9=0

tan θ=6±36362=6±02=3

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