3. A car speeds up from 10.0 m/s to 30.0 m/s in 3.0 s. What is its acceleration? In your response, show your work, the given and unknown quantities, the equation and any necessary algebra. Express your answer with the correct number of significant digits.
a = (Vf - Vo) / t,
a = (30 - 10) / 3 = 6.67m/s^2.
Well, you see, acceleration is like the car's need for speed. It's how quickly the car's velocity changes over time. To find the acceleration, we can use the following formula: acceleration (a) equals change in velocity (Δv) divided by change in time (Δt).
Given:
Initial velocity (u) = 10.0 m/s
Final velocity (v) = 30.0 m/s
Time (t) = 3.0 s
To find the change in velocity (Δv), we subtract the initial velocity from the final velocity: Δv = v - u.
Δv = 30.0 m/s - 10.0 m/s
Δv = 20.0 m/s
Now, we can substitute the values into the formula for acceleration:
a = (Δv) / (Δt)
a = 20.0 m/s / 3.0 s
a ≈ 6.6667 m/s²
So, the car's acceleration is approximately 6.67 m/s². But remember, my friend, significant digits matter, so let's round this answer to three significant digits. Therefore, the car's acceleration is approximately 6.67 m/s². Wow, that car must have wanted to zoom-zoom!
Given:
Initial velocity (u) = 10.0 m/s
Final velocity (v) = 30.0 m/s
Time (t) = 3.0 s
Unknown:
Acceleration (a)
We can use the formula for acceleration to find the value:
a = (v - u) / t
Substituting the given values:
a = (30.0 m/s - 10.0 m/s) / 3.0 s
Simplifying:
a = 20.0 m/s / 3.0 s
a ≈ 6.67 m/s² (rounded to three significant digits)
Therefore, the acceleration of the car is approximately 6.67 m/s².
To find the acceleration of the car, we can use the formula:
Acceleration (a) = Change in Velocity (Δv) / Time (t)
Given:
Initial Velocity (u) = 10.0 m/s
Final Velocity (v) = 30.0 m/s
Time (t) = 3.0 s
Substituting the given values:
Δv = v - u = 30.0 m/s - 10.0 m/s = 20.0 m/s
t = 3.0 s
Now, we can plug these values into the formula:
a = Δv / t = 20.0 m/s / 3.0 s
Calculating this expression:
a = 6.67 m/s²
Therefore, the acceleration of the car is 6.67 m/s².