Thursday

August 28, 2014

August 28, 2014

Posted by **Anonymous** on Sunday, January 27, 2013 at 2:32pm.

A particle moves in a stright line and its acceleration is given by a(t)=6t+4. its initial position is s(0)=9 and its position when t=1 is s(1)=6. find the velocity of the particle when t=2.

A. v(2)=14

B. v(2)=7

C. v(2)=4

D. v(2)=9

E. v(2)=0

- Ap Calculus -
**Damon**, Sunday, January 27, 2013 at 2:50pma = 6 t+4

then

v = 3 t^2 + 4 t + c

then

s = t^3 + 2 t^2 + c t + k

now find the constants c and k from the given points

s(0) = 9

9 = 0^3 + 2 0^3 + c 0 + k

so

k = 9 and we so far have

s = t^3 + 2 t^2 + c t + 9

now

s(1) = 6

6 = 1^3 + 2 (1)^2 + c (1) + 9

6 = 1 + 2 + c + 9

c = -6

so in the end

s = t^3 + 2 t^2 - 6 t + 9

I guess you can put in t = 2

- Ap Calculus -
**Anonymous**, Sunday, January 27, 2013 at 4:32pmI get an answer of 13 but it's not one of the choices

**Related Questions**

calculus - a particle moves along a number line measured in cm so that its ...

math - a particle M oscillators (that is, moves back and forth) in a straight ...

Calculus - A particle moves on a vertical line. Its position, s, in metres at t ...

HS Calculus - Having trouble with this questions. Please help. A particle moves ...

Calculus - A particle, initially at rest, moves along the x-axis such that its ...

Calculus - The position of a particle moving on a horizontal line is given by s(...

amet - PART A 1. The acceleration of a body along a straight line is given by (a...

physics - A particle leaves the origin with an initial velocity = (2.35 m/s) and...

Calculus - a particle moves along a line so that at any time t its position is ...

Calculus - A particle moves along a line so that at any time t its position is ...