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21 September, 11:24

A projectile is launched upward at an angle of 70⁰ from the horizontal and strikes the ground a certain distance down range. For what angle of launch at the same speed would this projectile land just as far away?

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  1. 21 September, 11:29
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    Answer:20°

    Explanation:

    Recall

    Range R of a projectile is given by U^2sin2A/g

    We're U = velocity, A = angle of projection and g is acceleration due to gravity

    From the question the range R are the same

    Hence R1=R2

    U1^2sin2A/g=U2^2sin2B/g

    But U1=U2 and g=g

    Hence sin2A=sin 2B

    Sin 2*70 = sin2*B

    0.6427=sin2B

    B=sin inverse (0.6427) = 40/2=20°
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