**AP Physics 1 Question 332: Answer and Explanation**

### Test Information

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**Question: 332**

**10.** A ball is thrown with an initial velocity *v* at an angle *θ* above the ground. If the acceleration due to gravity is -*g*, which of the following is the correct expression of the time it takes for the ball to reach its highest point, y, from the ground?

- A.
*v*^{2}sin*θ*/g - B. -
*v*cos*θ*/g - C.
*v*sin*θ*/g - D.
*v*^{2}cos*θ*/g

**Correct Answer:** C

**Explanation:**

**C**

At the highest point from the ground, the ball has a vertical velocity of zero. Therefore, applying the formula *v _{y}* =

*v*

_{0y}+

*a*and rearranging it for

_{y}t*t*, it becomes

*t*= -

*v*

_{0y}/-

*g.*Substituting

*v*

_{0y}=

*v*sin

*θ*into the equation,

*t*=

*v*sin

*θ*/

*g*.