A cannon fires a projectile as shown in figure. The dashed line shows the trajectory in the absence of gravity. The points M, N, O and P correspond to time at t = 0, 1s, 2 s and 3 s, respectively. Find the sum of lengths of X, Y and Z. (Take. g = 10 ms-2)

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answer is 70.

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Detailed Solution

tan⁡θ=x+yxX=xtan⁡θ−y .........(i)y=xtan⁡θ−12gxucos⁡θ2 .......(ii)From Eqs. (i) and (ii), we getX=12gxucos⁡θ2X=12gt2=5t2 So, x+y+z=512+22+32=70

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