Projectile Motion: Finding Final Vertical Velocity

In summary, a projectile is an object that is thrown or launched into the air and moves along a curved path due to gravity. The formula for projectile motion is x = x0 + v0t + (1/2)at^2 for horizontal motion and y = y0 + v0t + (1/2)at^2 for vertical motion. The angle of projection can be calculated using the formula θ = tan^-1(vy/vx), and the trajectory of a projectile is affected by factors such as initial velocity, angle of projection, air resistance, and the force of gravity. To solve a projectile homework question, identify known variables and use the projectile motion formula, while also drawing a diagram and labeling variables for
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Homework Statement


A backpacker throws a rock horizontally off of a cliff with an initial velocity of 11.7 m/s, and the rock lands 17.3 m away from the base of the cliff. What is the final vertical velocity of the rock? Round your answer to 2 decimal places.

Homework Equations


Δd = vot + 1/2at2

vf = vo + at

vf^2 = vo^2 + 2aΔd

The Attempt at a Solution


18.9 m/s
 
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  • #2
You need to show how you got that 18.9 m/s answer. Hint you can find the time of flight easily.
 
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1. What is a projectile?

A projectile is any object that is thrown or launched into the air and moves along a curved path due to the influence of gravity.

2. What is the formula for projectile motion?

The formula for projectile motion is: x = x0 + v0t + (1/2)at2 for horizontal motion and y = y0 + v0t + (1/2)at2 for vertical motion. This formula describes the displacement of an object in the x and y directions over time.

3. How do you calculate the angle of projection?

The angle of projection can be calculated using the formula θ = tan-1(vy/vx), where vy is the vertical velocity and vx is the horizontal velocity of the projectile.

4. What factors affect the trajectory of a projectile?

The trajectory of a projectile is affected by several factors, including the initial velocity, angle of projection, air resistance, and the force of gravity. Other factors such as wind and air density can also have an impact on the trajectory.

5. How do you solve a projectile homework question?

To solve a projectile homework question, you will need to identify the known variables such as initial velocity, angle of projection, and time. Then, use the projectile motion formula to calculate the unknown variable, such as the maximum height or range. It is also helpful to draw a diagram and label the variables to better understand the problem.

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