Instantaneous Acceleration in 2D Video Lessons

Concept

# Problem: A faulty model rocket moves in the xy-plane (the positive y-direction is vertically upward). The rockets acceleration has components ax(t)= t2 and ay(t)= - t, where /s4 = 2.50 /s2, /s3 = 9.00 t = 0, and 0 = v0x + v0y = 1.40 v0x. At m/s the rocket is at the origin and has velocity v0y with m/s = 1.00 { m m}/{ m s} and v_{0y} = 7.00 { m m}/{ m s}.Calculate the velocity vector as a function of time.Calculate the position vector as a function of time.What is the maximum height reached by the rocket?What is the horizontal displacement of the rocket when it returns to y = 0?Sketch the path of the rocket.

###### Problem Details

A faulty model rocket moves in the xy-plane (the positive y-direction is vertically upward). The rockets acceleration has components ax(t)= t2 and ay(t)= - t, where /s4 = 2.50 /s2, /s3 = 9.00 t = 0, and 0 = v0x + v0y = 1.40 v0x. At m/s the rocket is at the origin and has velocity v0y with m/s = 1.00 and = 7.00 .

Calculate the velocity vector as a function of time.

Calculate the position vector as a function of time.

What is the maximum height reached by the rocket?

What is the horizontal displacement of the rocket when it returns to y = 0?

Sketch the path of the rocket.