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Question

A projectile is fired from the bottom of incline plane of inclination 37 at speed of 20 m/s at an angle θ with incline plane as shown in figure. If time of flight is 3 sec, then distance `AB` is [g=10 m/s2]

A
0 m
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B
12 m
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C
17 m
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D
21 m
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Solution

The correct option is D 21 m
Considering x coordinate along incline and y coordinate perpendicular to incline.

Using 2nd equation of motion in y direction and given time of flight

0=20 sin θ×312×10×45×32sin θ=35

For range `AB` we write equation of motion in `x` direction

AB=V0 cos θ×312×10×35×32

AB=20×3×4527=21 m

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