The horizontal range of a projectile fired at an angle of 15° is 50m.If it is fired with the same speed, what is the maximum range that can be obtained?
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The horizontal range of a projectile fired at an angle of 15° is 50m.If it is fired with the same speed, what is the maximum range that can be obtained?
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Given info : The horizontal range of a projectile fired at an angle of 15° is 50m.
To find : If it is fired with the same speed, what is the maximum range that can be obtained ?
solution : Range of projectile is given by, R = u²sin2θ/g
here, R = 50 m, θ = 15° and g = 10 m/s²
so, 50 = u² × sin(2 × 15°)/10
⇒1000 = u²
⇒u = 10√10 m/s
now maximum horizontal range will be R = u²/g
= (10√10)²/10
= 1000/10
= 100 m
Therefore the maximum horizontal range is 100m.
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