How Do You Calculate Projectile Motion with Forces in Multiple Directions?

[ch2kb0x]

Homework Statement

A projectile fired down the y-axis with V0 = 300 ft/s, hits a target 500ft away. Assume constant force is acting on projectile at 60ft/s in negative z direction. Assume second constant force acting on projectile in negative x direction at 45ft/s.

Find angle of elevation (theta) of the launch and angle of correction (Beta) in x direction.

Find vector valued function r(t) representing path of projectile.

Find total distance traveled by projectile.

Find maximum height reached by projectile.

Find time it takes projectile to hit target.

Homework Equations

Kinematic equations.

The Attempt at a Solution

The constant force from negative z and negative x directions are completely throwing me off. Help would be appreciated, taking me through step by step. Thank you.

 

[LowlyPion]

Homework Statement

A projectile fired down the y-axis with V0 = 300 ft/s, hits a target 500ft away. Assume constant force is acting on projectile at 60ft/s in negative z direction. Assume second constant force acting on projectile in negative x direction at 45ft/s.

Find angle of elevation (theta) of the launch and angle of correction (Beta) in x direction.

Find vector valued function r(t) representing path of projectile.

Find total distance traveled by projectile.

Find maximum height reached by projectile.

Find time it takes projectile to hit target.

Homework Equations

Kinematic equations.

The Attempt at a Solution

The constant force from negative z and negative x directions are completely throwing me off. Help would be appreciated, taking me through step by step. Thank you.

You will need to modify your treatment of the Z motion with the additional velocity they provide. (And the X velocity affects X displacement.)

Note they call it a force, though it's not in the units of Force. They apparently want you to treat it as a constant velocity adjustment.