- #1
needhelpfast
- 20
- 0
Initial Velocity and Acceleration--Please Help!
You are driving along a straight section of roadway (x-axis). You spot a police officer and apply the brakes, slowing down at a constant rate. Your positions (in meters) at successive time intervals of 0.515 s are tabulated below as function of time. (1) Calculate the initial speed (i.e., the speed at t=0, the time at which the brakes are first applied.). (2) Calculate your acceleration along the x-axis, ax.
NOTE: Both answers must be correct to get credit.
x (m) 6.00 18.46 30.00 40.60
t (s) 0.000 0.515 1.030 1.545
vi=d/t-at/2
First, i found the velocity by doing the slopes, and the points i got were
.2575, 24.194
.7725, 22.408
1.2875, 20.583
i then found the slopes of those to get the acceleration, and i got -3.468 and -3.544. therefore the average acceleration is -3.5 m/s2
i then plugged the acceleration into the equation above and got that the initial velocity would be 25.1 m/s
i'm not sure about this answer, and any help would be greatly appreciated!
Homework Statement
You are driving along a straight section of roadway (x-axis). You spot a police officer and apply the brakes, slowing down at a constant rate. Your positions (in meters) at successive time intervals of 0.515 s are tabulated below as function of time. (1) Calculate the initial speed (i.e., the speed at t=0, the time at which the brakes are first applied.). (2) Calculate your acceleration along the x-axis, ax.
NOTE: Both answers must be correct to get credit.
x (m) 6.00 18.46 30.00 40.60
t (s) 0.000 0.515 1.030 1.545
Homework Equations
vi=d/t-at/2
The Attempt at a Solution
First, i found the velocity by doing the slopes, and the points i got were
.2575, 24.194
.7725, 22.408
1.2875, 20.583
i then found the slopes of those to get the acceleration, and i got -3.468 and -3.544. therefore the average acceleration is -3.5 m/s2
i then plugged the acceleration into the equation above and got that the initial velocity would be 25.1 m/s
i'm not sure about this answer, and any help would be greatly appreciated!