Four cars undergo acceleration as described by the data in the following table.
Car Initial Velocity (m/s) Final Velocity (m/s) Time period (s)
A 2.0 11.0 3.0
B -5.0 3.0 2.0
C 1.0 -5.0 2.0
D 0.0 25.0 10.0
Rank the accelerations from most positive to most negative.
badc
To rank the accelerations from most positive to most negative, we need to calculate the acceleration for each car. Acceleration is defined as the change in velocity divided by the change in time.
Acceleration = (Final Velocity - Initial Velocity) / Time
Let's calculate the accelerations for each car:
For Car A:
Acceleration_A = (Final Velocity_A - Initial Velocity_A) / Time_A
Acceleration_A = (11.0 m/s - 2.0 m/s) / 3.0 s
Acceleration_A = 9.0 m/s / 3.0 s
Acceleration_A = 3.0 m/s²
For Car B:
Acceleration_B = (Final Velocity_B - Initial Velocity_B) / Time_B
Acceleration_B = (3.0 m/s - (-5.0 m/s)) / 2.0 s
Acceleration_B = 8.0 m/s / 2.0 s
Acceleration_B = 4.0 m/s²
For Car C:
Acceleration_C = (Final Velocity_C - Initial Velocity_C) / Time_C
Acceleration_C = (-5.0 m/s - 1.0 m/s) / 2.0 s
Acceleration_C = -6.0 m/s / 2.0 s
Acceleration_C = -3.0 m/s²
For Car D:
Acceleration_D = (Final Velocity_D - Initial Velocity_D) / Time_D
Acceleration_D = (25.0 m/s - 0.0 m/s) / 10.0 s
Acceleration_D = 25.0 m/s / 10.0 s
Acceleration_D = 2.5 m/s²
Now, we can rank the accelerations:
Ranking from most positive to most negative:
1. Car A with an acceleration of 3.0 m/s² (most positive)
2. Car D with an acceleration of 2.5 m/s²
3. Car B with an acceleration of 4.0 m/s²
4. Car C with an acceleration of -3.0 m/s² (most negative)
To rank the accelerations from most positive to most negative, we need to calculate the acceleration for each car using the given data.
Acceleration is defined as the change in velocity divided by the change in time:
Acceleration (a) = (Final Velocity - Initial Velocity) / Time period
Let's calculate the accelerations for each car:
For Car A:
Acceleration (a) = (11.0 m/s - 2.0 m/s) / 3.0 s
Acceleration (a) = 9.0 m/s / 3.0 s
Acceleration (a) = 3.0 m/s²
For Car B:
Acceleration (a) = (3.0 m/s - (-5.0 m/s)) / 2.0 s
Acceleration (a) = 8.0 m/s / 2.0 s
Acceleration (a) = 4.0 m/s²
For Car C:
Acceleration (a) = (-5.0 m/s - 1.0 m/s) / 2.0 s
Acceleration (a) = -6.0 m/s / 2.0 s
Acceleration (a) = -3.0 m/s²
For Car D:
Acceleration (a) = (25.0 m/s - 0.0 m/s) / 10.0 s
Acceleration (a) = 25.0 m/s / 10.0 s
Acceleration (a) = 2.5 m/s²
Now, we can rank the accelerations from most positive to most negative:
1. Car A: 3.0 m/s² (most positive)
2. Car D: 2.5 m/s²
3. Car B: 4.0 m/s²
4. Car C: -3.0 m/s² (most negative)
A is 9/3 = +3
B is 8/2 = +4
C is -6/2 = -3
D is 25/10 = +2.5
now do it.