Vectors and Motion in Two Dimensions

AP Physics 1· difficulty 4/5

A projectile is launched at 30°30° above horizontal with initial speed 2020 m/s from ground level. Taking g=10g = 10 m/s², the maximum height reached is closest to

  • A

    20 m

  • B

    10 m

  • C

    2.5 m

  • D

    5.0 m (v0y=10v_{0y} = 10 m/s, h=v0y2/(2g)h = v_{0y}^2 / (2g))

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Explanation

v0y=20sin30°=10v_{0y} = 20\sin 30° = 10 m/s. At max height vy=0v_y = 0, so h=v0y2/(2g)=100/20=5.0h = v_{0y}^2/(2g) = 100/20 = 5.0 m.

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