A faulty model rocket moves in the *xy*-plane (the positive *y*-direction is vertically upward). The rockets acceleration has components a_{x}(t)= t^{2} and a_{y}(t)= - t, where /s^{4} = 2.50 /s^{2},
/s^{3} = 9.00 t = 0, and _{0} = v_{0x} + v_{0y} = 1.40 v_{0x}. At m/s the rocket is at the origin and has velocity v_{0y} 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.

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Instantaneous Acceleration in 2D concept. You can view video lessons to learn Instantaneous Acceleration in 2D. Or if you need more Instantaneous Acceleration in 2D practice, you can also practice Instantaneous Acceleration in 2D practice problems.