Question

Toby rides his bike down a hill. At the top of the hill he is moving 12 mph and at the bottom his is traveling 20 mph 4 seconds later. What was Toby's acceleration down the hill in m/sec2?

a. 2
b. з
c 5

Answer 1

To find Toby's acceleration down the hill, we calculate the change in velocity and the time it takes. The correct answer is option a. 2.

Step-by-step explanation:

To find Toby's acceleration down the hill, we need to calculate the change in velocity and the time it takes for that change to occur. The change in velocity is the difference between the final velocity and the initial velocity. In this case, Toby's initial velocity is 12 mph and his final velocity is 20 mph, so the change in velocity is 20 mph - 12 mph = 8 mph.

The time it takes for the change in velocity to occur is given as 4 seconds. We need to convert the velocities from mph to m/s and the time from seconds to hours to use in the formula for acceleration.

Using the formula for acceleration, acceleration = (change in velocity) / (time taken), we can calculate Toby's acceleration:

acceleration = (8 mph * 0.447 m/s) / (4 seconds * 1 hour / 3600 seconds)

acceleration = 2 m/s^2

Therefore, Toby's acceleration down the hill is 2 m/s^2. So, the correct option is a. 2.