Instantaneous Acceleration in 2D Video Lessons

Video Thumbnail

Concept

Problem: The velocity of an airplane as a function of time can be written as  v(t) = bi − 3ct2j where b and c are positive constants. Provide your answers in terms of b, c, and t when necessary. [a] What are the SI units of b and c? [b] Find an expression for the position r(t) of the airplane as a function of time assuming that the airplane is at the origin at t = 0. [c] Find an expression for the acceleration a(t) of the airplane as a function of time [d] Find the trajectory of the airplane (y vs. x).  

FREE Expert Solution
89% (17 ratings)
Problem Details

The velocity of an airplane as a function of time can be written as  v(t) = b− 3ct2j where b and c are positive constants. Provide your answers in terms of b, c, and t when necessary.

[a] What are the SI units of b and c?

[b] Find an expression for the position r(t) of the airplane as a function of time assuming that the airplane is at the origin at t = 0.

[c] Find an expression for the acceleration a(t) of the airplane as a function of time

[d] Find the trajectory of the airplane (y vs. x).

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.

How long does this problem take to solve?

Our expert Physics tutor, Jeffery took 7 minutes and 21 seconds to solve this problem. You can follow their steps in the video explanation above.

What professor is this problem relevant for?

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