Why is a graphical determination of the average velocity obtained from the slope of a best-fit line drawn for the data more accurate than calculating several velocities over small time intervals and averaging them together?
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Why is a graphical determination of the average velocity obtained from the slope of a
best-fit line drawn for the data more accurate than calculating several velocities over
small time intervals and averaging them together?
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- Problem 1 Pconducted an experiment on a particle's movement. The resulting data of a particle's movement was curve-fit generating the relation x = 5t3 + 2t? – 42t + 20, where x is expressed in feet and t in seconds. Determine: (a) when the velocity is zero (b) the velocities and accelerations when x = 0.The Dynamics Lab conducted an experiment on a particle's movement. The resulting data of a particle's movement was curve-fit generating the relation x = 5t³ + 2t² – 42t + 20, where x is expressed in feet and t in seconds. Determine: (a) when the velocity is zero (b) the velocities and accelerations when x = 0.In problem 11, if the dragstrip is ¼ mile, or 402.3 meters long, at the acceleration of 24.1 m/s2, what is the time that thedragster records for his or her quarter mile run to two decimal places assuming uniform acceleration during the entirelength of the track? What was the dragster’s final velocity in miles per hour (two decimal places) when it crossed thefinish line and deployed its parachute?
- The jet car is originally traveling at a velocity of 10 m/s when it is subjected to the acceleration shown. When -0.s=0 Supposie that a, =45 m/s. a=35 m/s and t"= 12 s. (Flgure 1) Determine the car's maximum velocity Express your answer to three significant figures and include the appropriate units. Value Units Figure <1 of 1 Submit RenstAnnwer e (m/) Part B Detemine he timo t when the car stops Express your answer to three significant figures and include the appropriate units. t's Value Unts Submit BesustAnsweThe British Queen Elizabeth-class battleship HMS Warspite achieved the longest naval gunnery hit from a moving ship to a moving target in history, hitting the Italian battleship Guilio Cesare in the Battle of Taranto. According to known data, the range was 24000 meters, and that the British 15-inch Mk I naval gun has a maximum muzzle velocity of 800 meters per second. Due to movement, a headwind was against the British battleship, forcing its shells to decelerate by approximately 0.5 meters per second squared. Find the firing angle of the Warspite upon hitting Guilio Cesare. Find the impact velocity of the 15-inch naval cannon's shell.The position as a function of time graph for an Olympic class sprinter during a race is shown in the figure. The data are fit to the function shown on the figure. Determine the velocity in meters per second of the sprinter at time t=2.75seconds, and determine the acceleration in meters per second squared of the sprinter at time t=2.74 seconds.
- A car travels a distance d = 29 m in the positive x-direction in a time of t1 = 21.5 s. The car immediately brakes and comes to rest in t2 = 7 s.Randomized Variablesd = 29 mt1 = 21.5 st2 = 7 s What was the car's average velocity in the horizontal direction, in meters per second, during t1? What was the acceleration, in meters per second squared, during time interval t1, assuming the car started from rest and moved with a constant acceleration? What was the car's instantaneous velocity in the horizontal direction, in meters per second, when it began braking? Using the result from part (c), what was the car's horizontal component of acceleration, in meters per second squared, during the braking period?A car travels a distance d = 29 m in the positive x-direction in a time of t1 = 21.5 s. The car immediately brakes and comes to rest in t2 = 7 s.Randomized Variablesd = 29 mt1 = 21.5 st2 = 7 s What was the acceleration, in meters per second squared, during time interval t1, assuming the car started from rest and moved with a constant acceleration? Using the result from part (c), what was the car's horizontal component of acceleration, in meters per second squared, during the braking period?#1) Given the graph below, which represents the velocity of a sprinter as a function of time in the x- direction, find the following (A) What is the final position of the sprinter measured from the origin in meters if he starts 2 meters from the origin at time equal zero seconds? (B) What is the total distance traveled by the sprinter in meters? Report answer to 3 sig figs. (C) Calculate the different constant accelerations present. 4 x-Velocity (m/s) DWN HOHNW -3 -4 1 2 3 4 Time (s) 5 1 8