AP Physics 1 Question 27: Answer and Explanation

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Question: 27

7. A projectile is launched with an initial velocity of magnitude a at an angle β to the horizontal. Find its maximum vertical displacement, ignoring effects due to the air.

  • A. (a2 sin 2β)/(2g)
  • B. (a2 sin2 β)/(2g)
  • C. (a2 sin 2β)/g
  • D. (a2 sin2 β)/g

Correct Answer: B


B The projectile reaches its maximum heigh when its vertical velocity drops to zero. Since vy = v0y - gt, this occurs at time t = v0y/g after launch. The vertical displacement at this time is