# Problem: A major leaguer hits a baseball so that it leaves the bat at a speed of 30.6 m/s and at an angle of 36.3° above the horizontal. You can ignore air resistance.You may want to review (Pages 75 - 82).For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Height and range of a projectile i: a batted baseball.A. At what two times is the baseball at a height of 10.9 m above the point at which it left the bat?B. Calculate the horizontal component of the baseballs velocity at an earlier time calculated in part (a).C. Calculate the vertical component of the baseballs velocity at an earlier time calculated in part (a).D. Calculate the horizontal component of the baseballs velocity at a later time calculated in part (a).E. Calculate the vertical component of the baseballs velocity at a later time calculated in part (a).F. What is the magnitude of the baseballs velocity when it returns to the level at which it left the bat?G. What is the direction of the baseballs velocity when it returns to the level at which it left the bat?

###### FREE Expert Solution

Vector components:

We're also going to use the kinematic equation:

$\overline{){\mathbf{∆}}{\mathbf{y}}{\mathbf{=}}{{\mathbf{v}}}_{\mathbf{0}\mathbf{y}}{\mathbf{t}}{\mathbf{-}}\frac{\mathbf{1}}{\mathbf{2}}{\mathbf{g}}{{\mathbf{t}}}^{{\mathbf{2}}}}$

The components of the velocity:

v0x = v0cosθ = (30.6)cos(36.3°) = 24.66 m/s

v0y = v0sinθ = (30.6)sin(36.3°) = 18.12 m/s

A.

From the kinematic equation Δy = v0yt - (1/2)gt2, we can get the times as:

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###### Problem Details
A major leaguer hits a baseball so that it leaves the bat at a speed of 30.6 m/s and at an angle of 36.3° above the horizontal. You can ignore air resistance.

You may want to review (Pages 75 - 82).

For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Height and range of a projectile i: a batted baseball.

A. At what two times is the baseball at a height of 10.9 m above the point at which it left the bat?

B. Calculate the horizontal component of the baseballs velocity at an earlier time calculated in part (a).

C. Calculate the vertical component of the baseballs velocity at an earlier time calculated in part (a).

D. Calculate the horizontal component of the baseballs velocity at a later time calculated in part (a).

E. Calculate the vertical component of the baseballs velocity at a later time calculated in part (a).

F. What is the magnitude of the baseballs velocity when it returns to the level at which it left the bat?

G. What is the direction of the baseballs velocity when it returns to the level at which it left the bat?