Abaseball player at second base throws a ball 90 feet to the player at first base. the ball is released at a point 5 feet above the ground with an initial velocity of 50 miles per hour and at an angle of 15° above the horizontal. at what height does the player at first base catch the ball? (round your answer to three decimal places.)

The height is 1.498 meters.

Step-by-step explanation:

In order to find the height, you have to apply the equations of Projectil Motion.

-For the x-axis:

Xf=Xo+Vox.t (I)

Where Xf is the final position, Xo is the initial position, Vox is the horizontal component of velocity and t is the time.

-For the y-axis:

Yf=Yo+Voy.t-0.5gt² (II)

Where Yf is the final position, Yo is the initial position, Voy is the vertical component of velocity, t is the time and g is the acceleration of gravity (9.8 m/s²).

The initial velocity in m/s is:

You have to calculate the horizontal and vertical components of the initial velocity. The velocity vector forms a right triangle with an angle of 15° with the horizontal, therefore you can obtain the components applying trigonometric identities.

Vox= 23.148(m/s)Cos(15°)=22.359 m/s

Voy=23.148(m/s)Sin(15°)=5.991 m/s

Using (I) to obtain the time when the horizontal position of the ball is 90 feet

90 feet in m/s is:

27.432=0+22.359t

Dividing by 22.359:

t=1.227 s.

Replacing the time in (II) to obtain the final vertical position of the ball:

The initial vertical position in meters is:

Yf = 1.524 + 5.991(1.227)-0.5(9.8)(1.227)²

Yf= 1.498 j m (where j is the unit vector in the y-axis)

Which is the height where the player catches the ball.

think about the doctor who treated the major and the speaker in the short story "in another country." put yourself in the shoes of the doctor, and based on what you read in the story, write what you think his thoughts about the major and the speaker would be. use the following vocabulary in your response and change the form of these words as needed: detached resign withered

1. 2

2. 11

3. 5

4. 6

5. 7

6. 5

7. -1

8. 1

step-by-step explanation: