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Question

The equation of the path of the projectile is y=0.5x0.04x2 The initials speed of the projectile is

A
10m/s
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B
15m/s
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C
12.5m/s
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D
None
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Solution

The correct option is B 12.5m/s

y=0.5x0.04x2=x(0.50.04x)

When y=0,x=0orR

R=0.50.04=12.5

y=xtanθ[1xR]tanθ=12;R=12.5m

But R=4u2sinθcosθg

u=Rg2sinθcosθ=  12.5×102×15×25=12.5m/s


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