Find the height from which the ball was thrown

In summary, the ball is tossed from an upper-story window with an initial velocity of 9.00 m/s at an angle of 16.0° below the horizontal. It strikes the ground after 5.00 seconds, and using the equation Y-Yo= Vyot -1/2gt^2, we can find the height from which it was thrown. However, the formula used above is incorrect as it does not take into account the direction of gravity.
  • #1
xjasonx1
7
0

Homework Statement


A ball is tossed from an upper-story window of a building. The ball is given an initial velocity of 9.00 m/s at an angle of 16.0° below the horizontal. It strikes the ground 5.00 s later. (Ignore air resistance.)
(b) Find the height from which the ball was thrown.

Homework Equations



Y-Yo= Vyot -1/2gt^2

The Attempt at a Solution



Yo= -Vyot +1/2gt^2

Yo= -(9sin16)(5) + 1/2(9.8)(25) = 110m
but the answer is wrong.
 
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  • #2
Consider the sign of vyo.

ehild
 
  • #3
xjasonx1 said:

Homework Statement


A ball is tossed from an upper-story window of a building. The ball is given an initial velocity of 9.00 m/s at an angle of 16.0° below the horizontal. It strikes the ground 5.00 s later. (Ignore air resistance.)
(b) Find the height from which the ball was thrown.

Homework Equations



Y-Yo= Vyot -1/2gt^2

The Attempt at a Solution



Yo= -Vyot +1/2gt^2

Yo= -(9sin16)(5) + 1/2(9.8)(25) = 110m
Your formula above is incorrect. The ball is tossed out of the window at a downward angle. This means that the vertical component of the velocity is in the same direction as gravity is acting. In your formula, Vy0 is negative, but the gravitational force is positive. You can define which sign corresponds to up or down, but you have to be consistent.
xjasonx1 said:
but the answer is wrong.
 
  • #4
Thank you!
 

1. How do you calculate the height from which the ball was thrown?

To calculate the height from which the ball was thrown, you will need to use the equation h = V2sin2(θ) / 2g, where h is the height, V is the initial velocity of the ball, θ is the angle of projection, and g is the acceleration due to gravity (9.8 m/s2).

2. What information do I need to find the height from which the ball was thrown?

To find the height from which the ball was thrown, you will need to know the initial velocity of the ball, the angle at which the ball was thrown, and the acceleration due to gravity.

3. Can the height from which the ball was thrown be negative?

No, the height from which the ball was thrown cannot be negative. It represents the vertical distance from the ground to the point where the ball was released.

4. Does air resistance affect the calculation of the height from which the ball was thrown?

Yes, air resistance can affect the calculation of the height from which the ball was thrown. If there is significant air resistance, it can decrease the vertical velocity of the ball and therefore affect the height calculation.

5. Is it possible to find the height from which the ball was thrown without knowing the initial velocity?

No, it is not possible to find the height from which the ball was thrown without knowing the initial velocity. The initial velocity is a crucial component in the calculation of the height, and without it, the calculation cannot be accurately completed.

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