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A projectile is projected with initial velocity (6i^+8j^)m/s. If g=10m/s2, then what is the horizontal range of the projectile?

a
8.8 m
b
13.5 m
c
9.6 m
d
11.2 m

detailed solution

Correct option is C

Initial velocity is (6i^+8j^)m/s (given).Magnitude of velocity of projection isu=ux2+uy2=62+82=10m/sAngle of projectiontan⁡θ=uyux=86⇒sin⁡θ=45 and cos⁡θ=35Now the horizontal range is,R=u2sin⁡2θg=u22sin⁡θcos⁡θg=(10)2×2×(4/5)×(3/5)10=9.6m

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