Question

What is the approximate time (to the nearest tenth of a second) it will take for an object moving in a straight line, as described by the equation s = 2t^2 - 3t, to travel a distance of 5 meters?

A) 2.3 seconds
B) 6.0 seconds
C) 3.5 seconds
D) 2.5 seconds

Answer 1

The approximate time it will take for the object to travel 5 meters is 2.3 seconds.

Step-by-step explanation:

To find the approximate time it will take for the object to travel a distance of 5 meters, we need to solve the equation s = 2t^2 - 3t, where s is the distance and t is the time. We set s equal to 5 and solve for t.

2t^2 - 3t = 5

2t^2 - 3t - 5 = 0

Using the quadratic formula, we find that t is approximately 2.3 seconds or 2.5 seconds. Since we need the answer to the nearest tenth of a second, the approximate time it will take for the object to travel 5 meters is 2.3 seconds.