question 1 - If Rojelio starts out at rest, and in 10 s speeds up to 50 m/s, what is his acceleration?
A - 12 m/s^2
B - 8 m/s^2
C - 5 m/s^2
D - 15 m/s^2
question 2 - If Juan starts out at 10m/s, and in 15 s speeds up to 60 m/s, what is his acceleration?
A - 10 m/s^2
B - 3.33 m/s^2
C - 4 m/s^2
D - 15 m/s^2
question 3 - If Julia starts out at rest, and in 13 s speeds up to 75 m/s, what is her acceleration?
A - 13 m/s^2
B - 5.76 m/s^2
C - 6 m/s^2
D - 7.4 m/s^2
question 4 - If Angelica starts out at 30m/s, and in 16 s speeds up to 84 m/s, what is her acceleration?
A - 3.44 m/s^2
B - 5 m/s^2
C - 3.375 m/s^2
D - 4 m/s^2
acceleration = (change in velocity) / (change in time)
To find the acceleration in each of these scenarios, you can use the equation:
Acceleration (a) = (Final velocity (v) - Initial velocity (u)) / Time (t)
Let's go through each question and calculate the acceleration:
Question 1:
Rojelio starts out at rest (u = 0), and in 10 s speeds up to 50 m/s (v = 50 m/s). Plugging these values into the equation, we get:
Acceleration = (50 m/s - 0 m/s) / 10 s = 5 m/s^2
So, the answer to question 1 is C - 5 m/s^2.
Question 2:
Juan starts out at 10 m/s (u = 10 m/s), and in 15 s speeds up to 60 m/s (v = 60 m/s). Using the equation, we have:
Acceleration = (60 m/s - 10 m/s) / 15 s = 4 m/s^2
Therefore, the answer to question 2 is C - 4 m/s^2.
Question 3:
Julia starts out at rest (u = 0), and in 13 s speeds up to 75 m/s (v = 75 m/s). By substituting these values into the equation, we get:
Acceleration = (75 m/s - 0 m/s) / 13 s ≈ 5.77 m/s^2 (rounded to two decimal places)
So, the answer to question 3 is B - 5.76 m/s^2.
Question 4:
Angelica starts out at 30 m/s (u = 30 m/s), and in 16 s speeds up to 84 m/s (v = 84 m/s). Plugging these values into the equation, we have:
Acceleration = (84 m/s - 30 m/s) / 16 s = 3.375 m/s^2
Hence, the answer to question 4 is C - 3.375 m/s^2.
I hope this breakdown helps!