Question

Kent Belate is driving down I-294 at 29.1m/s. He accelerates at a uniform rate of 5.84m/s² over a distance of 49.8m. How much time is required to cover this distance?

Answer 1

To find the time required to cover a distance with a uniform acceleration, you can use the equation distance = initial velocity * time + 0.5 * acceleration * time^2.

Step-by-step explanation:

To find the time required to cover a distance, we can use the equation: distance = initial velocity * time + 0.5 * acceleration * time^2. In this case, the initial velocity is 29.1 m/s, the acceleration is 5.84 m/s², and the distance is 49.8 m. Let's solve for time:

49.8 = 29.1t + 0.5 * 5.84 * t^2

0.5 * 5.84 * t^2 + 29.1t - 49.8 = 0

Using the quadratic formula, we can find the value of t, which turns out to be 1.90 seconds.