Register to reply 
Derivative of [s=ut+.5at^2] 
Share this thread: 
#1
Nov712, 04:41 AM

P: 5

Hey guys,
I'm currently in year 11 (Australia) and my physics class has recently started projectile motion. I noticed in class that the elementary differential calculus I've been learning in math could be applied to the questions we are working on. I'd been itching to try it out and today, after school, I did a question and (naturally) was able to solve it using what I had learned. In the particular question I solved, it was necessary to find the derivative of the formula:
Thanks for any help. 


#2
Nov712, 09:13 AM

Emeritus
Sci Advisor
HW Helper
Thanks
PF Gold
P: 6,275

Velocity is defined as the rate of change of position with respect to time.
If you were to plot position as a function of time, velocity would be the slope of the positiontime curve. Similarly, acceleration is the rate of change of velocity with respect to time. If you plotted velocity as a function of time, acceleration would be the slope of the velocitytime curve. 


#3
Nov712, 04:42 PM

P: 5

Ah, yes.
I realized before I fell asleep that the slope of the tangent at any point along that function with t on the xaxis is the velocity at that point in time (obviously). Thanks for the help. 


Register to reply 
Related Discussions  
Derivative with respect to partial derivative of contravariant metric tensor density  Advanced Physics Homework  0  
Find the derivative and the domain of the derivative (trig funtions)  Calculus & Beyond Homework  7  
Find derivative of floor function using limit definition of derivative?  Calculus & Beyond Homework  10  
Solve derivative by using the definition of the derivative limit  Precalculus Mathematics Homework  10  
Replacing total derivative with partial derivative in Griffiths' book  Advanced Physics Homework  3 