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oliampian
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***Sorry I meant to say finding time when you have initial velocity and position***
1. Homework Statement
A test rocket is launched by accelerating it along a 200.0-m incline at 1.36 m/s2 starting from rest at point A (the figure (Figure 1) .) The incline rises at 35.0 ∘ above the horizontal, and at the instant the rocket leaves it, its engines turn off and it is subject only to gravity (air resistance can be ignored).
Find the maximum height above the ground that the rocket reaches.
Find the greatest horizontal range of the rocket beyond point A.
Known:
Vo = 0 (because starting from rest)
aon incline = 1.36 m/s2
aoff incline = -9.8 m/s2
ramp distance = 200m
θ = 35°
x = xo + Vot + (0.5)at2
V = Vo + at
V2 = Vo2 + 2aΔx
I already found the first part, which turned out to be 124m when rounded to three sig figs.
I found through calculations that Vat end of incline = 23.323m/s:
using the V2 = Vo2 + 2aΔx
Vat end of incline = √(2(1.36m/s2)(200m))
Vat end of incline(x-component) = 23.323m/s(sin(35)) = 19.1050m/s
Distance in x-component = Dx = 200m(cos35) = 163.8304
So to find the total horizontal distance so far I have the equation:
x = 163.8304 + 19.105t - 0.5(9.8)t2
What I'm stuck on is trying to find the total time so I can plug that into the equation.
1. Homework Statement
A test rocket is launched by accelerating it along a 200.0-m incline at 1.36 m/s2 starting from rest at point A (the figure (Figure 1) .) The incline rises at 35.0 ∘ above the horizontal, and at the instant the rocket leaves it, its engines turn off and it is subject only to gravity (air resistance can be ignored).
Find the maximum height above the ground that the rocket reaches.
Find the greatest horizontal range of the rocket beyond point A.
Known:
Vo = 0 (because starting from rest)
aon incline = 1.36 m/s2
aoff incline = -9.8 m/s2
ramp distance = 200m
θ = 35°
Homework Equations
x = xo + Vot + (0.5)at2
V = Vo + at
V2 = Vo2 + 2aΔx
The Attempt at a Solution
I already found the first part, which turned out to be 124m when rounded to three sig figs.
I found through calculations that Vat end of incline = 23.323m/s:
using the V2 = Vo2 + 2aΔx
Vat end of incline = √(2(1.36m/s2)(200m))
Vat end of incline(x-component) = 23.323m/s(sin(35)) = 19.1050m/s
Distance in x-component = Dx = 200m(cos35) = 163.8304
So to find the total horizontal distance so far I have the equation:
x = 163.8304 + 19.105t - 0.5(9.8)t2
What I'm stuck on is trying to find the total time so I can plug that into the equation.
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