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A particle moves with velocity function v(t) = [tex] 3t^{2} [/tex] − 4t + 1, with v measured in feet per second and t measured in seconds. Find the acceleration of the particle at time t = 3 seconds.

2 divided by 3 feet per second^2
7 feet per second^2
14 feet per second^2
21 feet per second^2

A particle moves with velocity function vt tex 3t2 tex 4t 1 with v measured in feet per second and t measured in seconds Find the acceleration of the particle a class=

Respuesta :

apologiabiology
v'(t)=a(t)

deriviive of the velocity is the acceleration

easy peasy
dy/dx v(t)=6t-4
v'(t)=a(t)=6t-4

at=t=3
a(3)=6(3)-4
a(3)=18-4
a(3)=14 ft per second squared

3rd answer
jbmow
Acceleration is the rate of change of velocity.
So take the derivative of the velocity which would be a =6t-4.  When t=3, a=14 ft/sec^2

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