An object with zero initial velocity accelerates at a constant rate of 10 m/s. find its average velocity during the first 15 seconds
distance traveled = 1/2 * 10m/s^2 * 225s^2 = 1125m
avg vel = 1125m/15s = 75m/s
To find the average velocity of an object, you need to know its initial velocity, final velocity, and the time interval. In this case, the initial velocity is zero, and the acceleration rate is 10 m/s^2. We need to find the final velocity to calculate the average velocity.
To find the final velocity, we can use the formula:
Final Velocity = Initial Velocity + (Acceleration * Time)
Given initial velocity is 0, acceleration is 10 m/s^2, and we are looking for the final velocity after 15 seconds:
Final Velocity = 0 + (10 m/s^2 * 15 s)
Final Velocity = 150 m/s
Now that we have the final velocity, we can calculate the average velocity over the first 15 seconds. The average velocity is given by the formula:
Average Velocity = (Initial Velocity + Final Velocity) / 2
Since the initial velocity is 0, the formula simplifies to:
Average Velocity = Final Velocity / 2
Plugging in the value we found for the final velocity:
Average Velocity = 150 m/s / 2
Average Velocity = 75 m/s
Therefore, the average velocity of the object during the first 15 seconds is 75 m/s.