Can someone please walk me through this problem? I don\'t understand why the las

Question

Can someone please walk me through this problem? I don't understand why the last choice is correct.
A cannon fires a projectile as shown. The dashed line shows the trajectory in the absence of gravity; points MNOP correspond to one second intervals. Using g = 10 m/s2, the lengths X,Y,Z are:

Can someone please walk me through this problem? I don't understand why the last choice is correct. A cannon fires a projectile as shown. The dashed line shows the trajectory in the absence of gravity; points MNOP correspond to one second intervals. Using g = 10 m/s2, the lengths X,Y,Z are:

Explanation / Answer

when gravity is not there ,

h = ut

when gravity comes ,

h' = ut - 10t^2/2 = ut - 5t^2

so difference = h- h' = 5t^2

so diff. for 1st sec = 5 x 1^2 =5

for 2nd sec = 5 x 2^2 = 20

for 3rd = 5 x 3^2 = 45

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