The position of a particle moving in a straight line at any time t is x(t) = 2t^2 + 6t + 5. what is the acceleration of the particle at t=3

The acceleration of the particle at any time t

Step-by-step explanation:

Given:

The position of a particle moving in a straight line at any time t is.

The velocity of the particle

So the velocity of the particle

The acceleration of the particle

In this condition the acceleration does not depending upon the time, so the acceleration is constant

Therefore the acceleration of the particle at any time t

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47