Velocity Functions & Instantaneous Acceleration Video Lessons

Video Thumbnail

Concept

Problem: An object's velocity is measured to be vx(t) = α − βt2, where α = 4.00 m/s and β = 2.00 m/s3. At t = 0 the object is at x = 0.(a) Express the object's position as a function of time.(b) Express the object's acceleration as a function of time.(c) What is the object's maximum positive displacement from the origin?

FREE Expert Solution
86% (375 ratings)
Problem Details

An object's velocity is measured to be vx(t) = α βt2, where α = 4.00 m/s and β = 2.00 m/s3. At t = 0 the object is at x = 0.

(a) Express the object's position as a function of time.

(b) Express the object's acceleration as a function of time.

(c) What is the object's maximum positive displacement from the origin?

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 Velocity Functions & Instantaneous Acceleration concept. You can view video lessons to learn Velocity Functions & Instantaneous Acceleration. Or if you need more Velocity Functions & Instantaneous Acceleration practice, you can also practice Velocity Functions & Instantaneous Acceleration practice problems.

How long does this problem take to solve?

Our expert Physics tutor, Julia took 3 minutes and 49 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 Slinker's class at UTD.