a. A projectile is launched with speed v0 and angle ?.

Chapter 4, Problem 39P

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QUESTION:

a.  A projectile is launched with speed \(v_{0}\) and angle \(\theta\). Derive an expression for the projectile’s maximum height h.

b.  A baseball is hit with a speed of 33.6 m/s. Calculate its height and the distance traveled if it is hit at angles of 30.0°, 45.0°, and 60.0°.

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QUESTION:

a.  A projectile is launched with speed \(v_{0}\) and angle \(\theta\). Derive an expression for the projectile’s maximum height h.

b.  A baseball is hit with a speed of 33.6 m/s. Calculate its height and the distance traveled if it is hit at angles of 30.0°, 45.0°, and 60.0°.

ANSWER:

Step 1 of 7

For the projectile motion, we need to derive the expression for the maximum height. Also, we need to calculate the height and range (distance travelled) for the given different launch angles.

A baseball is launched at an angle  with initial speed  . The base reaches a maximum vertical height  and falls back to ground at an horizontal distance or range  , as shown in the figure below.

        

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