SOLUTION: The position of an object moving in a straight line is given by s=2tsquared-3t, where s is in meters and t is the time in seconds the object has been in motion. How long(to the nea

Question 186357: The position of an object moving in a straight line is given by s=2tsquared-3t, where s is in meters and t is the time in seconds the object has been in motion. How long(to the nearest tenth) will it take the object to move 6 meters?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!

s=2tsquared-3t
s=2t^2-3t
.
Set 's' to 6 and solve for 't':
s=2t^2-3t
6=2t^2-3t
0=2t^2-3t-6
Since we can't factor, we must use the quadratic equation.
Doing so yields:
t = {2.6, -1.1}
We can toss out the negative solution leaving
t = 2.6 seconds
.
Details of quadratic follows:

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=57 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 2.63745860881769, -1.13745860881769. Here's your graph:

RELATED QUESTIONS
The position of an object moving in a straight line is given by s=2tsquared - 3t, where s (answered by stanbon,Earlsdon)

The position of an object moving in a straight line is given by s(t)=2t^2-3t, where s is... (answered by solver91311)

The position of an object moing in a straight line is given by s=2t^2-3t, where s is in... (answered by Earlsdon)

Hello I hope someone can help me. Here is the question: THe position of an object moving (answered by jim_thompson5910)

The position of an object moving in a straight line is given by s=2t^2-3t, where s is in... (answered by Fombitz)

The position of an object moving in a straight line is given by s(t)=t^2-8t, where s is... (answered by wynona)

The position of an object moving in a straight line is given by s=t^2-8t, where s is in... (answered by stanbon)

The position of a object traveling in a straight line is given by the function... (answered by Alan3354)

An object is moving in a straight line. The distance (in meters) from a fixed point is... (answered by ikleyn)