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A cannon fires a projectile as shown in ...

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, 1 s, 2 s`, and `3` s, respectively. The length of X,Y, and Z are , respectively.
.

A

5m, 10m, 15m

B

10m, 40m, 90m

C

5m, 20m, 45m

D

10m, 20m, 30m.

Text Solution

Verified by Experts

The correct Answer is:
C
c. In general, `h = 1/2"gt"^2`
`X = 1/2 g(1)^2 = 5m`,
`Y = 1/2 g (2)^2 = 20m, Z = 1/2 g (3)^2 = 45m`.
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