Question

A baseball has a velocity of 40.6 m/s (90.8 mi/h), directed horizontally, as it is released...

A baseball has a velocity of 40.6 m/s (90.8 mi/h), directed horizontally, as it is released by a pitcher. The ball's velocity 0.0100 s before it is released is 38.7 m/s, directed 3.75° above the horizontal. Calculate the ball's instantaneous acceleration just before it is released.

magnitude
direction below the horizon
Science   Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

If the horizontal direction is assumed to be along the x axis and the vertically up direction is along the +y axis, then, the initial velocity is
   

Now as , , so,
   


And the final velocity is
   
The elapsed time is
   
And so, the acceleration is
   
  
  
The magnitude of the acceleration
   
  
And the angle it makes with the horizontal is
   
  
The negative sign implies the angle is below the horizontal. And so, the magnitude of the angle below the horizontal is
  

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A baseball pitcher throws a pitch with an initial velocity of 46.0 m/s, directed horizontally. How...
A baseball pitcher throws a pitch with an initial velocity of 46.0 m/s, directed horizontally. How far does the ball drop vertically by the time it crosses the plate 18.0 m away?
A baseball pitcher throws a baseball horizontally at a linear speed of 42.5 m/s (about 95...
A baseball pitcher throws a baseball horizontally at a linear speed of 42.5 m/s (about 95 mi/h). Before being caught, the baseball travels a horizontal distance of 17.6 m and rotates through an angle of 48.1 rad. The baseball has a radius of 3.67 cm and is rotating about an axis as it travels, much like the earth does. What is the tangential speed of a point on the "equator" of the baseball?
A 0.33 kg softball has a velocity of 15 m/s at an angle of 46° below...
A 0.33 kg softball has a velocity of 15 m/s at an angle of 46° below the horizontal just before making contact with the bat. What is the magnitude of the change in momentum of the ball while it is in contact with the bat if the ball leaves the bat with a velocity of (a)21 m/s, vertically downward, and (b)21 m/s, horizontally back toward the pitcher?
A baseball pitcher throws a ball horizontally at a speed of 30.2 m/s. A catcher is...
A baseball pitcher throws a ball horizontally at a speed of 30.2 m/s. A catcher is 19.0 m away from the pitcher. Find the magnitude, in meters, of the vertical distance that the ball drops as it moves from the pitcher to the catcher. Ignore air resistance.
A baseball player hits a line drive. Just before the ball is struck, it is moving...
A baseball player hits a line drive. Just before the ball is struck, it is moving east at a speed of 40.8 m/s (91 mi/h). Just after contact with the bat, 1.08 10-3 s later, the ball is moving west at a speed of 49 m/s (110 mi/h). Find the ball's average acceleration. magnitude? An elevator is initially moving upward at a speed of 11.16 m/s. The elevator experiences a constant downward acceleration of magnitude 4.20 m/s2 for 3.06 s....
A 140 g baseball is moving horizontally to the right at 39 m/s when it is...
A 140 g baseball is moving horizontally to the right at 39 m/s when it is hit by the bat. The ball flies off to the left at 53 m/s , at an angle of 25∘ above the horizontal. What is the magnitude of the impulse that the bat delivers to the ball? What is the direction of the impulse that the bat delivers to the ball?
n a game of pool, a cue ball with an initial velocity of 1.40 m/s directed...
n a game of pool, a cue ball with an initial velocity of 1.40 m/s directed to the right (along the +x-axis) collides with the five ball, which has equal mass and is initially at rest. The five ball then moves at 1.21 m/s at an angle of 30.0° above the +x direction. (a) Find the cue ball's final velocity. magnitude direction below the positive x-axis (b) Is kinetic energy conserved?
A baseball is hit at an angle of 62.4° and velocity of 21.2 m/s on level...
A baseball is hit at an angle of 62.4° and velocity of 21.2 m/s on level ground. A stiff head wind causes a horizontal acceleration of 3.00 m/s2 opposing the ball's motion. How far in meters does the ball travel on level ground?
In the figure, a baseball is hit at a height h = 1.10 m and then...
In the figure, a baseball is hit at a height h = 1.10 m and then caught at the same height. It travels alongside a wall, moving up past the top of the wall 1.3 s after it is hit and then down past the top of the wall 3.4 s later, at distance D = 55 m farther along the wall. (a) What horizontal distance is traveled by the ball from hit to catch? What are the (b) magnitude...
A projectile is shot horizontally at 25 m/s from the roof of a building 90 m...
A projectile is shot horizontally at 25 m/s from the roof of a building 90 m tall. Use g = 10 m/s2. Choose positive vertical direction upward. • How long does it take the projectile to reach the ground below (round to the nearest integer) . • What is the horizontal range of this projectile, i.e. how far from the base of the building does the projectile land (round to the nearest integer) . • What is the horizontal component...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT