Projectile Motion: Solve Time & Speed of Rock Leaving Bill's Foot

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In summary, Bill kicks a rock horizontally off the top of his apartment building, striking a window 14 m away. With an acceleration of gravity of 9.8 m/s^2, the window is 16 m below the point where Bill kicked the rock. The rock's time in the air can be solved using the equation delta y = v0t - 1/2gt^2, and its initial velocity can be found using the derivative of position equation.
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huz521
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Projectile HELP!

Homework Statement


NOTE: IN THIS QUESTION, BILL KICKS
THE ROCKS HORIZONTALLY.
Bill kicks a rock off the top of his apartment
building. It strikes a window across the street
14 m away.
The acceleration of gravity is 9.8 m/s
2
.
If the window is 16 m below the position
where Bill contacted the rock, how long was
it in the air?
Answer in units of s.
How fast was it moving when it left Bill’s
foot?
Answer in units of m/s.

Homework Equations





The Attempt at a Solution

 
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  • #2


(delta)y = v0t - 1/2gt^2just plug in the numbers
 
  • #3


>>just plug in the numbers

but that's not how you understand the physics of the problem.

Think about the question at hand and try to figure what is actually going on.

[PLAIN]http://img237.imageshack.us/img237/641/blockfc.png

V initial has only a horizontal component which equals its total magnitude.

Your knowns:

1) The final height
2) The total distance traveled
3) And Gravity

Know you must solve for time, which equation let's you solve for t by only knowing position and acceleration?

Know you must solve for V initial, what equation do you think you should use for this? (The derivative of position is velocity)
 
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FAQ: Projectile Motion: Solve Time & Speed of Rock Leaving Bill's Foot

1. How is projectile motion defined?

Projectile motion is the motion of an object through the air or space under the influence of gravity. It is a combination of horizontal and vertical motion, and the path of the object is a parabola.

2. What is the equation for calculating the time of flight for a projectile?

The equation for calculating the time of flight for a projectile is t = 2v0sinθ/g, where t is time, v0 is the initial velocity, θ is the launch angle, and g is the acceleration due to gravity.

3. How do you find the speed of a projectile at a specific point in its path?

The speed of a projectile at a specific point in its path can be found using the equation v = v0cosθ, where v is the velocity at that point, v0 is the initial velocity, and θ is the launch angle.

4. Can the speed of a projectile be constant throughout its motion?

No, the speed of a projectile is not constant throughout its motion. It is affected by factors such as air resistance and changes in the angle of launch.

5. How does the mass of a projectile affect its motion?

The mass of a projectile does not affect its motion in terms of time and speed. However, a heavier object will experience more air resistance, which can affect its trajectory and distance traveled.

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