(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A model rocket is launched vertically upward. If it's position (height) y above the ground in feet as a function of time t in seconds is given by:

2. Relevant equations

y = f(t) = 192t - 16t^2

3. The attempt at a solution

1. Find the instantaneous velocity and acceleration at any time t.

Now this is my first calculus course on my long academic journey, but velocity is the first derivative and acceleration is the second.

Velocity -

y' = 192-32t

That was easy, but it is the second derivative (acceleration) that is stumping me:

y'' = -32

How is that possible.. negative acceleration the entire time?

Thank you for your assistance.

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Calculus Rocket Problem (Derivatives)

**Physics Forums | Science Articles, Homework Help, Discussion**