Lab 3 Uniformly accelerated motion

average speed , ´ v = flag ¿ ∆x time ∈ gate,∆t ∨´ v = ∆ x ∆t  The angle of the track will be measured two ways. First, there is a free app called Angle Pro that can measure an angle to 0.1°. Second, using trigonometry, measure the length of the track (around 122.0cm) and its height above a suitable reference point. Then use the inverse sine to get the angle ( do not use angles greater than 15 ° ) : Low Angle θ = sin − 1 ( ∆ 9.9 122.0 cm ) ¿ 4.65 0 High Angle θ = sin − 1 ( ∆ 18 122.0 cm ) ¿ 8.48 0  The acceleration on the track, a , can be calculated using the accepted value for the acceleration due to gravity, g , and the sine of the angle of the track: a = g ∙sin θ = g ∙ ∆ y 122.0 cm  Two runs of the experiment will be conducted.  The last step in the procedures should present the equation that is being investigated in the lab. Consult the Physics Equations resource. 7. Data:  =4.65  =5.65 i x (m) x1/2(m1/2 ) v (m/s) v (m/s) 1 0.1 0.316 0.522 0.576 2 0.2 0.447 0.554 0.772 3 0.3 0.548 0.669 0.955

MS = 1.73 √ m s % error = | 1.7 − 1.73 | 1.7 × 100 = | − . 03 | 1.7 × 100 = 1.76% 9. Conclusion: Velocity is directly proportional to square root of the cars position, according to: Low Angle: v= (1.16m ½) x 1/2 High Angle: v= (1.73m ½) x ½ As the initial distance of the car from the sensor increased, the velocity also increased. This increase was due to the car having a longer time to travel resulting in faster speed from the influence of gravity. As the ramp angle increased, the acceleration and velocity showed a direct increase. 10. Evaluation: During this experiment, velocity and distance showed a direct proportion as when the distance increased so did the velocity. Results regarding the accuracy showed a high error percent. The percent error associated with the low angle reflected a 54.7%. This is considered to be an extremely high percent error. The TS of the low angle was 0.75 √ m s and the MS of the low angle resulted in 1.16 √ m s . When looking at the high angle, the percent error reflected a 1.76%, which is a low percent error. Reasons for the percent error resulting in an extremely high score could be a result of systematic errors which could include the Spark XLi being moved by a peer or the car being released at a further distance resulting in inaccuracy throughout measurements. The R2 value collected from the low angle reflected a 0.9931 and the high angle