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Two projectiles are thrown simultaneousl...

Two projectiles are thrown simultaneously in the same plane from the same point. If their velocities are `v_(1)` and `v_(2)` at angles `theta_(1)` and `theta_(2)` respectively from the horizontal, then ansewer the following questions
If `v_(1)costheta_(1) = v_(2)cos theta_(2)`, then choose the incrorrect statement

A

the time of flight of both the particles will be same

B

the maximum height attained by the particles will be same

C

the trajectory of one with respect to another will be a horizontal straight line

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B

`y = xtan theta-(gx^(2))/(2x^(2)cos^(2)theta)`
`75 = x tan53^(@) - (gx^(2))/(2xx50^(2)cos^(2)53^(@))`
`75 = x (4)/(3) - (x^(2))/(2xx2500xx9)`
`75 = (4x)/(3)-(x^(2))/(180)`
solving
`x_(1) =150 m " "x_(2) = 90m`
`Deltax= 60m`
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