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Two graphs of the same projectile motion...

Two graphs of the same projectile motion (in the xy-plane) projected from origin are shown. X-axis is along horizontal direction and y-axis is vertically upwards. Take `g = 10 ms^(-2)`.
,
The projection speed is :

A

`sqrt(37)ms^(-1)`

B

`sqrt(41)ms^(-1)`

C

`sqrt(14)ms^(-1)`

D

`sqrt(40)ms^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
B
Time of flight (T) = 1s
`(2u_y)/g = 1s rArr u_y = 5ms^(-1)`
Range (R) = 4m.
`2(u_x)(u_y).g = 4 rArr u_x = 4 ms^(-1)`
`u = sqrt(u_x^2 + u_(y)^(2)) = sqrt (41) ms^(-1)`
`theta = tan^(-1) (u_y/u_x) = tan^(-1) (5/4)`
`H = (u_y^2)/(2g) = (5)^2/20 = 5/4 = 1.25m`.
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