Betty is sledding down a hill going 12 m/s. She hits a very steep patch and starts to speed up 1.5 m/s2. How fast will Betty be moving 2 seconds later?

To determine how fast Betty will be moving 2 seconds later, we need to calculate her final velocity using the given initial velocity and the acceleration.

To find Betty's final velocity, we can use the following equation:

final velocity = initial velocity + (acceleration × time)

Given:
Initial velocity (u) = 12 m/s
Acceleration (a) = 1.5 m/s^2
Time (t) = 2 seconds

Now, we can substitute these values into the equation:

final velocity = 12 m/s + (1.5 m/s^2 × 2 s)

Calculating the expression within the parentheses:

final velocity = 12 m/s + (3 m/s)

Adding the two terms together:

final velocity = 15 m/s

Therefore, Betty will be moving at a speed of 15 m/s 2 seconds later.