Calculus
posted by Anonymous .
find the acceleration at time t=9s if the position (in cm) of a particle moving along a line is s(t)=6t^37t^29t+2 at time t.

Calculus 
Vipster
V(t) = dS/dt = 18t^2  14t 9
Acceleration = dV/dt = 36t14
Plug the value of "t" in the above and that's the answer
Respond to this Question
Similar Questions

Calculus
a particle starts at time t = 0 and moves along the x axis so that its position at any time t>= 0 is given by x(t) = ((t1)^3)(2t3) a.find the velocity of the particle at any time t>= 0 b. for what values of t is the velocity … 
Calculusparticle motion
1. A particle is moving on the xaxis (or any number line) Its position x(t), or distance from the origin, at the time t is given by x(t)=4t^316t^2+15t. t is greater than or equal to 0 a.) Where is the particle when it is at rest? 
math
A particle is traveling along a onedimensional path (such as a number line). The position of the particle is governed by the time function x(t) ƒ 3t 4 ƒ{16t3 ƒy18t 2 ƒy 2 , where t is in minutes and 0 „T t „T 5 . Answer … 
calculus
5. A particle moves along the y – axis with velocity given by v(t)=tsine(t^2) for t>=0 . a. In which direction (up or down) is the particle moving at time t = 1.5? 
Calc
A particle moves along the xaxis in such a way that it's position in time t for t is greator or equal to 0 is given by x= 1/3t^3  3t^2 +8 A) show that at time t= 0 the particle is moving to the right. B) find all values of t for … 
Calc
A particle moves along the xaxis in such a way that it's position in time t for t is greator or equal to 0 is given by x= 1/3t^3  3t^2 +8 A) show that at time t= 0 the particle is moving to the right. B) find all values of t for … 
Physics
A particle is moving along a straight line and its position is given by the relation x=( t36t215t+40)mm. Find: (a). The time at which velocity is zero. (b). Position & displacement of the particle at that point. (c). Acceleration … 
calculus
Consider a particle moving along the xaxis where x(t) is the position of the particle at time t, x'(t) is its velocity, and x''(t) is its acceleration. A particle moves along the xaxis at a velocity of v(t) = 5/√t, t > 0. … 
physics
A particle is moving along a straight line and its position is given by the relation x=( t36t215t+40)mm. Find: (a). The time at which velocity is zero. (b). Position & displacement of the particle at that point. (c). Acceleration … 
physics
A particle is moving along a straight line and its position is given by the relation x=(t3 6t2 15t+40) m FIND a) The time at which velocity is Zero, b) Position and displacement of the particle at that point. c) Acceleration for …