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

The position of a particle as a function of time (in s) is given by C_{1}+ C_{2}t + C_{3}t^{2}.

Let C_{1}= 19.0 m, C_{2}= 39.1 m/s, and C_{3}= -0.62 m/s^{2}.

(a) What is the velocity of the particle at time t = 13.0 s?

(b) What is the particle's acceleration at time t = 13.0 s?

2. Relevant equations

C_{1}+ C_{2}t + C_{3}t^{2}.

Let C_{1}= 19.0 m, C_{2}= 39.1 m/s, and C_{3}= -0.62 m/s^{2}.

3. The attempt at a solution

I wasn't sure how to do this problem from the beginning, so I tried playing around with some numbers to see if anything could come up. I tried substituting 13.0 into the formula to create a quadratic equation and got: -104.78x^{2}+ 508.3x + 19. I then used the quadratic formula to get some points: (-0.037, 0.0495) (4.888, 0.06186). If I'm doing anything right so far, I would say from the graph that the velocity is decreasing and the acceleration is negative?

Any help would be greatly appreciated. Thank you.

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**

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

# Homework Help: Position of a Particle as Function of Time (Velocity, Acceleration, etc.)

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