Tuesday

October 21, 2014

October 21, 2014

Posted by **anon** on Saturday, March 5, 2011 at 10:04pm.

A. 3t^3+t^2+C

B. 3t^3+2t^2+C

C. 18t+C

D. 20t+C

My answer is B.

- Calculus 12th grade. -
**jai**, Saturday, March 5, 2011 at 10:25pmrecall that velocity is the change in position over change in time, or:

v = dx/dt

where x=distance, and t=time

thus equating this to the given function,

dx/dt = 9t^2 + 2t

dx = (9t^2 + 2t)dt

integrating,

x - xo = 3t^3 + t^2 + C

if we assume that the initial displacement is zero or xo = 0, this becomes:

x = 3t^3 + t^2 + C

your answer is correct~! :D

- Calculus 12th grade. -
**Jiskha**, Wednesday, March 16, 2011 at 7:53amI don't know how to do this

**Answer this Question**

**Related Questions**

physics - A body oscillates with simple harmonic motion along the x-axis. Its ...

Pre Calculus - If you are riding on a Ferris wheel that is 60 feet tall and it ...

calculus - At t=0 , a particle starts at the origin with a velocity of 6 feet ...

physics] - a body moving along a straight line at 20 m/s undergoes an ...

physics # 1 - 1. If a particle moves in a plane so that its position is ...

algebra - An object that is projected straight downward with initial velocity v ...

algebra - An object that is projected straight downward with initial velocity v ...

Physics - 1)A car is moving with uniform accelaration. It moves along two point ...

Calculus - A ball is thrown straight down from the top of a 220-foot building ...

calculus - The position of a particle moving in a straight line during a 2-...