Average and Instantaneous Velocity

dmonlama
Messages
4
Reaction score
0

Homework Statement


a. Show that if the position x of a moving point is given by a quadradic function of t,x = At^2 + Bt + C, then the average velocity over any time iunterval [t1,t2] is equal to the instantaneous velocity at the midpoint of the time interval.
b. What is the geometric significance of the result in part (a)?
 
Physics news on Phys.org
How do you calculate the average velocity over a given interval?
How do you calculate the instantaneous velocity at a given moment?
Can you give us the formulas?
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
View full post »

Similar threads

I Problem in understanding instantaneous velocity
Replies
33
Views
2K
Momentum: instantaneous or average?
Replies
9
Views
1K
I When does the instantaneous velocity exist?
Replies
4
Views
1K
Calculate Distance Traveled: Instantaneous vs. Average Velocity
Replies
5
Views
2K
B Average Speed vs. Velocity: Explained
Replies
10
Views
3K
I An actual meaning of instantaneous velocity
Replies
13
Views
1K
Finding Time t for Instantaneous & Average Velocity: Particle Motion
Replies
5
Views
2K
Estimate Instantaneous Velocity
Replies
19
Views
9K
Can a Function Have Two Different Tangent Lines at the Same Point?
Replies
2
Views
1K
Two Equations for Average Velocity?
Replies
2
Views
2K

Hot Threads

Recent Insights

Back
Top