How High Was the Ball Thrown From the Building?

In summary, a ball is tossed from a building with an initial velocity of 8.70 m/s at an angle of 22.0° below the horizontal. It strikes the ground 5.00 s later. To find the height from which the ball was thrown, you need to use the initial angle and solve for the initial velocity in the vertical direction. Using the formulas for projectile motion can also be helpful in solving this problem.
  • #1
GlobalDuty
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Homework Statement


A ball is tossed from an upper-story window of a building. The ball is given an initial velocity of 8.70 m/s at an angle of 22.0° below the horizontal. It strikes the ground 5.00 s later.
Find the height from which the ball was thrown.


The Attempt at a Solution


i found final Velocity first: -8.70 + (-9.80)(5) and i got -57.7
then i used this formula yf-yi = 1/2(Vy+Vi)t 1/2(-57.7 + -8.70)5
to get 166 for the height, but it is wrong.
 
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  • #2
The problem is that you took the entire initial velocity to be in the vertical direction, but the ball was thrown at an angle so in reality, part of that velocty is in the horizontal direction. You need to use the initial angle given and solve for the initial velocty in the y direction, and that's the velocity that will change due to gravity.
 
  • #3
thank you, that helped
 
  • #4
Try using some of the extra forumlas given for projectile motion, you can find them on wikipedia ect. they help alot, plus they're easier to use then 2D motion
 

Related to How High Was the Ball Thrown From the Building?

1. How high is the building from which the ball is being thrown?

The height of the building will affect the time it takes for the ball to reach the ground. If we know the height of the building, we can use physics equations to calculate the time it takes for the ball to fall.

2. What is the initial velocity of the ball when it is thrown off the building?

The initial velocity of the ball is the speed at which it is thrown off the building. This can be measured in meters per second (m/s) or feet per second (ft/s). This velocity will also affect the time it takes for the ball to reach the ground.

3. What is the acceleration of the ball as it falls?

The acceleration of the ball is due to the force of gravity, which causes objects to accelerate towards the ground at a rate of 9.8 meters per second squared (m/s²). This acceleration remains constant throughout the ball's fall.

4. How long does it take for the ball to reach the ground?

The time it takes for the ball to reach the ground depends on the height of the building, the initial velocity of the ball, and the acceleration due to gravity. Using physics equations, we can calculate the time it takes for the ball to fall from the building.

5. What factors affect the distance the ball travels when thrown off a building?

The distance the ball travels depends on the height of the building, the initial velocity of the ball, and the angle at which it is thrown. Air resistance and wind can also affect the distance the ball travels.

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