Aparticle is moving along the x-axis so that its position at t ≥ 0 is given by s(t) = (t)in(5t). find the acceleration of the particle when the velocity is first zero. (4 points) 5e 5e2 e none of these

The particle's velocity is given by the derivative of its position:

which will be 0 when

The acceleration is given by the second derivative, so we have

and at , the acceleration will be

step-by-step explanation:

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= 5

step-by-step explanation:

to find the 15th term substitute n = 15 into the nth term formula

= (- 3 × 15 ) + 50 = - 45 + 50 = 5