An electron in a cathode-ray tube accelerates uniformly from 2.00 x 10^4 m/s to 6.00 x 10^6 m/s over 1.5 cm. (a) In what time interval does the electron travel this 1.5 cm? (b) What is its acceleration?
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- An object's position in the as a function of time obeys the equation; x (t) = 3t – 2t³ + 1.5t where all constants have proper SI Units. What is the speed of the object in the x direction at t = 1.75 seconds?An object's position as a function of time in one dimension is given by the expression; 3.89t2 + 2.22t + 7.48 where are constants have proper SI Units. What is the object's average velocity between the times t = 3.16 s and t = 8.38 s?the earth is approximately 1.5x10^8 km from the sun. how many minutes does it take light to travel from the sun to the earth? light travels at a speed of 3.00 x10^10 m/s
- An object's position as a function of time in one dimension is given by the expression; 3.89t2 + 2.22t + 7.48 where are constants have proper SI Units. What is the object's average velocity between the times t = 3.16 s and t = 8.38 s? with everything in 3 sig figsA proton moves along the x axis according to the equation x = 54 t+ 11 t2, where x is in meters and t is in seconds. Calculate (a) the average velocity of the proton during the first 3.0 s of its motion, (b) the instantaneous velocity of the proton at t = 3.0 s, and (c) the instantaneous acceleration of the proton at t = 3.0 s. (a) Number i Units (b) Number i Units (c) Number i UnitsThe function describing the predicted velocity as a function of time, v(t)v(t), for a student-designed prototype two-stage model rocket during a 5.5 ss time interval is given by v(t)=at^3+bt^2+ct, where a=3.0m/s^4, b=−24m/s^3, and c=54m/s^2. Due to ignition rates of the fuel in the two stages and external forces acting on the rocket, the design produces a velocity function that has both a local minimum and a local maximum during the time interval. Determine the times at which v(t)v(t) has a local minimum and maximum. What are the corresponding minimum and maximum velocities that the rocket experiences?
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- A ball falls freely from rest with an acceleration g. The variation with time t of its displacement s is given by s=1/2gt2. The percentage uncertainty in the value of t is ±3% and that in the value of g is ±2%.Calculate the percentage uncertainty in the value of s.A runner with a good awareness of her pace runs along a path of unknown length at a speed of 0.1250.125 mi/min and then walks back to her starting point at a speed of 0.04500.0450 mi/min. She neglects to note her time for each part of her path but does measure the total round-trip time to be 50.050.0 min. How far did she run? (Do not include walking distance.)An unidentified flying object (UFO) is observed to travel a total distance of 49000 m, starting and ending at rest, over a duration of 3.07 s. Assuming the UFO accelerated at a constant rate to the midpoint of its journey and then decelerated at a constant rate the rest of the way, what was the magnitude of its acceleration? Express your answer in g s , where 1 g = 9.81 m/s^2. 20,796 g s 10,398 g s 2,120 g s 1,060 g s