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If y=x-x^2 is the path of a projectile, ...

If `y=x-x^2` is the path of a projectile, then which of following is incorrect (`g=10m//s^2`):

A

Range =1m

B

Time of flight =5sec

C

Maximum height =0.25 m

D

Angle of projectile =`45^(@)`

Text Solution

Verified by Experts

The correct Answer is:
B

y=x(1-x) compare with `y = x tan theta(1-x/R)`
So `tan theta=1`, angle projection is `45^(@)`
and R=1m
`H/R=(tan theta)/4rArr H=1/4 m`
`H=(u^(2)sin^(2) theta)/(2g)rArr 1/4 =(u^(2) sin theta)/g =(2sqrt(5))/10 =1/(sqrt(5)) sec`
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