Projectile and Resistance Force

[hardygirl989]

Homework Statement

Consider a 10 kg projectile launched with an initial speed of 100 m/s at an angle of 35 degrees elevation. The Resistance force is R=-bv where b=10 kg/s. A) Use a numerical method to determine the horizontal and vertical positions of the projectile as a function of time. B) What is the range of the projectile? C) Determine the elevation angle that gives the maximum anle. (Hint: Adjust the elevation angle by the trial and error to find the greatest range).

Homework Equations

ƩF=ma

The Attempt at a Solution

I am trying to come up with an equation for part a, but I am getting confused. Could anyone help?

I tried:
I made a free body diagram with up being positive y direction and right being positive x direction.
I set ƩFx= -(Vx)bv=mAx
ƩFy= - mg - (Vy)bv=mAy
I am not sure if this is right or where to go from here. Can someone help please and thank you.

 

[gneill]

Homework Statement

Consider a 10 kg projectile launched with an initial speed of 100 m/s at an angle of 35 degrees elevation. The Resistance force is R=-bv where b=10 kg/s. A) Use a numerical method to determine the horizontal and vertical positions of the projectile as a function of time. B) What is the range of the projectile? C) Determine the elevation angle that gives the maximum anle. (Hint: Adjust the elevation angle by the trial and error to find the greatest range).

Homework Equations

ƩF=ma

The Attempt at a Solution

I am trying to come up with an equation for part a, but I am getting confused. Could anyone help?

I tried:
I made a free body diagram with up being positive y direction and right being positive x direction.
I set ƩFx= -(Vx)bv=mAx
ƩFy= - mg - (Vy)bv=mAy
I am not sure if this is right or where to go from here. Can someone help please and thank you.

Your resistance forces are ending up being multiplied by velocity twice. Probably not what you want I suggest you drop the "v" from bv in those terms.

Note that they're asking you to use a numerical method. That implies some form of iterative process where the trajectory is computed in incremental steps with some discrete timestep Δt. This is called "integration" of the trajectory (related to what we usually think of as integration in Calculus).

What types of trajectory integration methods have you come across?