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1. The problem statement, all variables and given/known data

Jimmy is sitting in a 500kg car at the start of a quarter mile track, with a ramp at the end. His car also has two rockets strapped to the side of it. They each produce a 4000N force, and will burn until Jimmy cuts them off at the end of a quarter mile, and goes up the 10m high 25 degree ramp. Neglect air resistance and friction from tires.

2. Relevant equations

pretty much every linear and projectile equation

f = ma

3. The attempt at a solution

1/4 mile = 402m

m = 500kg, force = 8000n F = ma acceleration = 16 m/s^2

Plug 16m/s^2 into x-xo= vt -1/2at^2, solve for t = 7.08s, vf=vo + at, solve for final velocity gives 113.28m/s, when onto the ramp his velocities are 113.28sin25 and 113.28cos25 for the x and y components. When at the top of the ramp, use vf^2 = vo^2 + 2a(delta y) which gives 45.77 m/s for initial velocity in y direction. For max height, vyf = vyo - gt set vf = 0 gives 4.67s to reach peak height. y - yo = vt - 1/2gt^2, gives 106 m. Does this all look right? and how do I solve for the total distance?

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# Homework Help: Linear and projectile equation

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