You ride your bike at a CONSTANT speed of 12 m/s for 100 s from your house to the mailbox. What was your acceleration for the trip? a= (Vf-Vi)/t
Since you are riding at a constant speed, there is no change in velocity. Therefore, the final velocity (Vf) is equal to the initial velocity (Vi), and the acceleration is 0 m/s².
A toy race car zooms across the ground with an acceleration of 1.8 m/s^2. After 3 seconds it has a final velocity of 12.2 m/s, what is the toy car's initial velocity? a= (Vf-Vi)/t
We can rearrange the equation a = (Vf - Vi) / t to solve for Vi.
Rearranging the equation, we have Vi = Vf - a * t.
Plugging in the given values, Vi = 12.2 m/s - (1.8 m/s² * 3 s).
Calculating, we have Vi = 12.2 m/s - 5.4 m/s.
Therefore, the toy car's initial velocity is Vi = 6.8 m/s.
Since you rode your bike at a constant speed, your initial velocity (Vi) and final velocity (Vf) are the same. Therefore, the acceleration (a) for the trip is zero.
Using the formula a = (Vf - Vi) / t, and substituting the values, we get:
a = (12 m/s - 12 m/s) / 100 s
a = 0 m/s²
So, your acceleration for the trip is 0 m/s².
To find the acceleration for your trip, we need to use the formula:
Acceleration = (Final velocity - Initial velocity) / Time
In this case, the initial velocity is 12 m/s since you've mentioned that you rode your bike at a constant speed of 12 m/s. The final velocity is also 12 m/s because you didn't mention any change in speed or direction.
The time taken for the trip is 100 seconds.
Now, plugging the values in the formula:
Acceleration = (12 m/s - 12 m/s) / 100 s
Since the final velocity and initial velocity are the same, the numerator becomes 0. Therefore, the acceleration for your trip is:
Acceleration = 0 / 100 s = 0 m/s^2
So, your acceleration for the trip is 0 m/s^2. This means that your speed did not change during the journey, as you maintained a constant speed of 12 m/s.