Distance = (velocity * 3.00 s) + (1/2 * 1.02 m/s^2 * (3.00 s)^2
To calculate the distance using the given equation:
Distance = (velocity * 3.00 s) + (1/2 * 1.02 m/s^2 * (3.00 s)^2)
Assuming you have values for velocity and acceleration, you can plug them into the equation:
Distance = (velocity * 3.00) + (0.5 * 1.02 * 9)
Simplifying the equation:
Distance = 3.00 * velocity + 4.59
The result will be in meters.
To calculate the distance, you can use the formula for displacement:
Distance = (velocity * time) + (1/2 * acceleration * time^2)
Given the values in the formula you provided:
- velocity: the initial velocity
- time: the elapsed time
- acceleration: the rate of change of velocity
You can plug in the values into the formula to find the distance.
Let's assume:
- velocity = 10 m/s
- time = 3.00 s
- acceleration = 1.02 m/s^2
Now substitute these values into the formula:
Distance = (10 m/s * 3.00 s) + (1/2 * 1.02 m/s^2 * (3.00 s)^2
First, calculate the terms within parentheses:
Distance = (30.00 m) + (1/2 * 1.02 m/s^2 * 9.00 s^2)
Next, calculate the exponent in the second term:
Distance = (30.00 m) + (1/2 * 1.02 m/s^2 * 81.00 s^2)
After that, multiply the value of acceleration by the squared time:
Distance = (30.00 m) + (0.51 m/s^2 * 81.00 s^2)
Finally, multiply the values to get the distance:
Distance = 30.00 m + 41.31 m
So, the total distance is 71.31 meters.
To calculate the distance traveled, follow these steps:
Step 1: Multiply the velocity by the time:
Velocity * Time = (velocity * 3.00 s)
Step 2: Square the time:
Time^2 = (3.00 s)^2
Step 3: Multiply the acceleration by 1/2:
Acceleration * (1/2) = (1/2 * 1.02 m/s^2)
Step 4: Multiply the result from step 3 by the square of the time from step 2:
(1/2 * 1.02 m/s^2) * (3.00 s)^2
Step 5: Add the results from step 1 and step 4 together:
(velocity * 3.00 s) + ((1/2 * 1.02 m/s^2) * (3.00 s)^2) = Distance traveled