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Question

A gun projects a ball at the angle of 45 with the horizontal. If the horizontal range is 39.2 m, then the ball will rise to


Correct Answer
A
9.8 m
Your Answer
B
4.9 m
Your Answer
C
2.45 m
Your Answer
D
19.6 m

Solution

The correct option is B 9.8 m

v is the velocity, H is the maximum height and R=39.2 m is the range
R=v2sin2θg
39.2=v2sin(2×45)gv2g=39.2
H=v2sin2θ2g=39.2×sin245×12=9.8 m

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