Rocket projectile motion problem

In summary: X - Xo = Vot + .5at2 Xo - X = V + .5at2 v2 = vo2 + 2a(X - Xo) v2 = vo2 + 2a(Xo - X) v2 = vo2 + 2a(Xo - Xo) v2 = vo2 + 2a(Xo - (X - Xo)) v2 = (vo2 + 2a)(Xo - Xo) v2 = vo2 + 2a(Xo - (X - Xo)) v2 = vo2 + 8a(X
  • #1
Jessicaelleig
12
0
Ronson drives a rocket sled from rest m up from a15 degree ramp at an acceleration of 8.0 m/s2. The rocket cuts off at the end of the ramp, which happens to be atthe edge of a 75 m high cliff. He freefalls in his sled until he bounces on a trampoline, which is on a 30.0 m high platform, and gives him an upward acceleration of 108 m/s2 for 0.45 s. Again he freefalls, bouncing this time on the ground, which gives him an upward acceleration of 445 m/s2 for 0.12 s. FInally after a third freefall, he stops bouncing, losing all vertical velocity but none of his horizontal velocity. Now that he's on the ground, he slides horizontally, decelerating at 1.5 m/s2 before coming to a stop. How far is the diagonal distance from the top of the ramp to his final resting place?

THis is really advanced, and I am really bad at projectiles motion. I know it involves x and y components.

It involves kinematic equations
V = Vo + at

X - Xo = Vot + .5at2

v2 = vo2 + 2a(X - Xo)

X - Xo = .5(Vo + V)t

If you can provide ideason how for me to solve this, that would be appreciated!
 
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  • #2


Welcome to PF.

You need to take this one step at a time. Each step is simple, but there are many of them.

Start with the ramp. You didn't say how long it is, but the problem statement must have given another piece of information that is missing from your post.

Or is the ramp 75m high, i.e. the low end of the ramp is even with the bottom of the cliff?
 
  • #3


can anyone please help?
 
  • #4


sry
its supposed to be
"Ronson drives a rocket sled from rest 25 m up from a15 degree ramp at an acceleration of 8.0 m/s2."
 
  • #5


Okay, so what is Ronson's velocity when he reaches the end of the ramp?
 
  • #6


That's what I am trying to figure out with the different x and y components. Do you have any idea how to solve?
 

Related to Rocket projectile motion problem

1. What is a rocket projectile motion problem?

A rocket projectile motion problem is a type of physics problem that involves calculating the motion of a rocket as it travels through the air. This includes factors such as the rocket's initial velocity, acceleration due to gravity, and air resistance.

2. How do you calculate the initial velocity of a rocket?

The initial velocity of a rocket can be calculated using the formula v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time. In a rocket projectile motion problem, the initial velocity is typically given or can be calculated using other known values.

3. What is the role of air resistance in rocket projectile motion?

Air resistance, also known as drag, plays a significant role in rocket projectile motion. It is the force that opposes the motion of the rocket and can cause it to slow down and change direction. The amount of air resistance depends on the shape and speed of the rocket.

4. How does the angle of launch affect the trajectory of a rocket?

The angle of launch, also known as the angle of elevation, affects the trajectory of a rocket by determining the initial direction of its motion. A higher angle of launch will result in a higher maximum height and longer flight time, while a lower angle of launch will result in a shorter flight with a lower maximum height.

5. What factors can affect the accuracy of calculations in a rocket projectile motion problem?

There are several factors that can affect the accuracy of calculations in a rocket projectile motion problem, such as air resistance, external forces, and the assumptions made in the problem. It is important to carefully consider and account for these factors in order to obtain accurate results.

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