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.