- #1
Remulak
- 15
- 0
Help Please!
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.
pretty much every linear and projectile equation
f = ma
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?
Homework Statement
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.
Homework Equations
pretty much every linear and projectile equation
f = ma
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?
Last edited: