Projectile Motion - one question.

In summary, to calculate the speed at which the circus performer must be moving horizontally when she lets go of the trapeze, you must first calculate the time it takes for her to fall 10m vertically. This time will also be the time she has to travel 5m horizontally. Then, you can use the equation t = (2y/g) where y is the distance (10m) to solve for time. Once you have the time, you can divide the distance (5m) by the time to find the necessary horizontal speed.
  • #1
MoreZitiPlease
107
0

Homework Statement



A circus performer wants to land in a net of 5m to the right of where she willlt go of the trapeze. IF she is 10m above the net, how fast must she be moving horizontally when she let's it go?

Homework Equations


I know we are trying to solve for speed and we are giving distance

The Attempt at a Solution



No idea
 
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  • #2
two-step process:
how long does it take for her to fall 10m?
how far can she travel in that time horizontally (given a certain initial speed)?
 
  • #3
id guess use 9.8
 
  • #4
write down the relevant equations, and you are good to go
 
  • #5
i don't know them

whatr re thy
 
  • #6
First you must calculate the time it takes for her to travel the 10m down vertically.
Once you know that time, that is also the time that she has to travel 5m horizontally.
So you can calculate her horizontal speed necessary by dividing the distance (5m) by the time.
 
  • #7
t = (2y/g) where y = distance
so, t= ((2)(10)/-9.8) ~= 2.04 s
5/2.04 = your answer.

I could be wrong =)...hopefully not!
 
  • #8
i'll see
 

FAQ: Projectile Motion - one question.

1. What is projectile motion?

Projectile motion is the motion of an object through the air due to the force of gravity.

2. What factors affect projectile motion?

The factors that affect projectile motion include the initial velocity, the angle of launch, air resistance, and the force of gravity.

3. How is the range of a projectile calculated?

The range of a projectile is calculated using the equation R = (v^2 * sin(2θ))/g, where R is the range, v is the initial velocity, θ is the angle of launch, and g is the acceleration due to gravity.

4. What is the maximum height reached by a projectile?

The maximum height reached by a projectile is determined by the initial velocity and angle of launch. It can be calculated using the equation h = (v^2 * sin^2(θ))/2g, where h is the maximum height.

5. How does air resistance affect projectile motion?

Air resistance can decrease the range and height of a projectile by slowing it down as it travels through the air. The amount of air resistance depends on the shape and size of the object and the density of the air.

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