**AP Physics 1 Question 27: Answer and Explanation**

### Test Information

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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. (a
^{2}sin 2β)/(2g) - B. (a
^{2}sin^{2}β)/(2g) - C. (a
^{2}sin 2β)/g - D. (a
^{2}sin^{2}β)/g

**Correct Answer:** B

**Explanation:**

B The projectile reaches its maximum heigh when its vertical velocity drops to zero. Since v_{y} = v_{0}_{y} - gt, this occurs at time t = v_{0}_{y}/g after launch. The vertical displacement at this time is