This is a kinematics problem without calculus. The approach is simple and straight forward.

We'll need the kinematic equations.

Uniform accelerated motion (UAM) equations, a.k.a. "kinematics equations":

A spaceship maneuvering near Planet Zeta is located at r = (600 **î** − 400 **ĵ** + 200 **k̂**) × 10^{3} km, relative to the planet, and traveling at v = (9500 **î**) m/s. It turns on its thruster engine and accelerates with a = (40 **î** − 20 **k̂**) m/s^{2} for 35 min.

What is the spaceship's position when the engine shuts off? Give your answer as a vector measured in km.

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.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor McNutt's class at VALENCIA.