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Q.

The horizontal and vertical displacements of a projectile, projected obliquely on the surface of a planet as a function of time, are given by x=10t m and y=(12t 4t2) m. The horizontal range of the projectile is 

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a

zero

b

120 m 

c

30 m 

d

20.6 m
 

answer is A.

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Detailed Solution

a) x=10 t

x=ucosθ t

ucosθ=10m/s

b) y=12t4t2

y=sin θt12gt2 

sinθ=12m/s

g2=4

g=8

R=2Ucosθusinθg

210128=30 m

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