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Question

At an initial speed of 26 m/s, how long would it take for the driver to reach 80 miles per hour if the car’s acceleration is 4 m/s^2? Use the GUFSA Method (Given, Unknown, Formula, Solution, and Answer)

Answer 1

Given:

Initial speed (u) = 26 m/s

Acceleration (a) = 4 m/s^2

Unknown:

Time (t) to reach 80 miles per hour

Formula:

We can use the equation of motion: v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.

Solution:

First, let's convert the final velocity from miles per hour to meters per second.

1 mile = 1609.34 meters (approximately)

1 hour = 3600 seconds

So, 80 miles per hour = (80 * 1609.34) / 3600 = 35.76 m/s (approximately)

Now, we can use the equation v = u + at and rearrange it to solve for t:

t = (v - u) / a

Substituting the values:

t = (35.76 - 26) / 4

t = 9.76 / 4

t ≈ 2.44 seconds

Therefore, it would take approximately 2.44 seconds for the driver to reach 80 miles per hour.

Answer:

Using the GUFSA method, the time it would take for the driver to reach 80 miles per hour is approximately 2.44 seconds.