Projectile Motion in Elevator: Peach Pit Launch Homework

In summary, the problem involves a tourist throwing a peach pit horizontally with a velocity of 7.0 m/s in an elevator that is not moving. The time it takes for the pit to reach a height of 11.0 m below and the distance it will land from the elevator can be calculated using basic kinematic equations. In the next scenario, where the elevator is moving upward at a constant velocity of 9.5 m/s, the time and distance can be calculated by considering the horizontal and vertical components of the motion separately. The appropriate kinematic formula for this scenario would be d = vi*t + 1/2*a*t^2.
  • #1
halo9909
37
0

Homework Statement




A rude tourist throws a peach pit horizontally with a 7.0 m/s velocity out of an elevator cage.
(a) If the elevator is not moving, how long will the pit take to reach the ground, 11.0 m below?
s
(b) How far (horizontally) from the elevator will the pit land?
m
(c) He throws the next pit when the elevator is at the same height but moving upward at a constant 9.5 m/s velocity. How long will it take this pit to land?
s
(d) How far away will this pit land?

Homework Equations



X Y
d h
v vi
t vf
t
a

d=.5at^2
basic trigonometry


The Attempt at a Solution



I am unsure how to approach this, since I don't understand this, what would need tobe done to find time in part1
 
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  • #2
Start my splitting the motion into two components, vertical and horizontal motion. Now, considering the vertical motion only, how long will it take the peach to hit the ground?
 
  • #3
yeah i got part a and b
t=Squareroot(2d/9.8)

and got the "t" to be 1.498sec and multplied the time by 7 and got "b" which is 10.483m
but for the other two it is left me confused, on how to use like forumulas
 
  • #4
In the previous case, the initial velocity only had an horizontal component, but in the current case the initial velocity has both a horizontal and vertical component. However, the approach is much the same.

Start by splitting the motion into the horizontal components. Which kinematic formula do you think would be appropriate for part (c)?
 

FAQ: Projectile Motion in Elevator: Peach Pit Launch Homework

What is elevator projectile motion?

Elevator projectile motion refers to the movement of an object within an elevator as it travels up or down. This motion is affected by the acceleration of the elevator and the force of gravity.

How does the direction of the elevator affect projectile motion?

The direction of the elevator affects projectile motion because it changes the direction of the acceleration. If the elevator is moving upwards, the acceleration will be in the same direction as the force of gravity, resulting in a slower descent of the object. If the elevator is moving downwards, the acceleration will be opposite to the force of gravity, causing the object to fall faster.

Can projectile motion occur in a stationary elevator?

Yes, projectile motion can occur in a stationary elevator. This is because the object still experiences the force of gravity while in the elevator, causing it to move in a parabolic path.

How does the speed of the elevator affect projectile motion?

The speed of the elevator affects projectile motion by changing the rate of acceleration. A faster moving elevator will have a higher acceleration, causing the object to move in a wider parabolic path. A slower moving elevator will have a lower acceleration, resulting in a narrower parabolic path.

What are some real-world applications of elevator projectile motion?

Elevator projectile motion has many real-world applications, such as in amusement park rides, where objects are launched in a parabolic path to create a thrilling experience. It is also used in physics experiments to study the effects of acceleration and gravity on objects. Additionally, understanding elevator projectile motion is crucial for engineers and architects when designing elevators and skyscrapers.

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