A particle moves along a line for time such that its velocity is .What is the velocity of the particle when its acceleration is zero for the first time?

Question

​A particle moves along a line for time  such that its velocity is  .What is the velocity of the particle when its acceleration is zero for the first time? ​

Quizplus · Accepted Answer

We can use the formula for acceleration, which is the derivative of velocity, to find the time at which acceleration is zero. 
a(t) = v'(t) = 2t - 3
Setting a(t) = 0 and solving for t, we get t = 1.5. 
Now, we can plug this time into the given velocity function to find the velocity at that time: 
v(1.5) = -2(1.5)^2 + 3(1.5) - 1 = -0.67
Therefore, the answer is B) -0.670.

​A Particle Moves Along a Line for Time Such

A Particle Moves Along a Line for Time Such