A car travels in a straight line. The position of the car satisfies the following relationship as a function of time, a = 1,5 m/s where acceleration in the following interval: t=0yt=2s B x(t) = at + t² B = 0,25 m s² and Find the average velocity and average
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- The acceleration of a particle is a constant. At t=0 the velocity of the particle is (14.91 + 18.4ĵ) m/s. At t = 4.6 s the velocity is 11.4j m/s. (Use the following as necessary: t. Do not include units in your answers.) (a) What is the particle's acceleration (in m/s²)? = î+ 18.4 v(t) = (b) How do the position (in m) and velocity (in m/s) vary with time? Assume the particle is initially at the origin. r(t) = î+ X Î- i) m/s m/sA pilot flies in a straight path for 1 h 30 min. She then makes a course correction, heading 10° to the right of her original course, and flies 2 h in the new direction. If she maintains a constant speed of 500 mi/h, how far is she from her starting position? (Round your answer to the nearest mile.)The acceleration of an object (in m/s2) is given by the function a(t)=8sin(t)a(t)=8sin(t). The initial velocity of the object is v(0)=−10v(0)=-10 m/s. Round your answers to four decimal places.a) Find an equation v(t) for the object velocity.v(t)v(t) = −8cos(t)−2Correct b) Find the object's displacement (in meters) from time 0 to time 3.3.4187Incorrect metersc) Find the total distance traveled by the object from time 0 to time 3. meters
- 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 sDuring 5 successive 1.02 min intervals, a runner moved at the following constant speed: 0.388km/min, 0.226 km/min, 0.160 km/min, 0.160 km/min and 0.320 km/min. Compute the total distance traveled and the average speed. Total distance Average speedA student drops an object out the window of the top floor of a high-rise dormitory. (a) Neglecting air resistance, how fast is the object traveling when it strikes the ground at the end of 3.9 s? First used standard British units and then express the speed in mi/h for a familiar comparison. (ft/s and mi/h) (b) How far, in meters, does the object fall during the 3.9 s? Comment on how many floors the dormitory probably has. (Assume that there are 32 floors/100 m.)
- A family drives on a trip to visit their relatives. On the first day they travel 550 miles with an average speed of 50 mi/hr, on the second day 420 miles with an average speed of 35 mi/hr and on the third day 585 miles with an average speed of 45 mi/hr. a) What is the total driving time? b) What is the average speed for the trip?Compute your average velocity in the following two cases: (a) You walk 64.0 m at a speed of 1.28 m/s and then run 64.0 m at a speed of 3.98 m/s along a straight track. (b) You walk for 1.00 min at a speed of 1.28 m/s and then run for 1.39 min at 3.98 m/s along a straight track.In heavy traffic, a car travels 39.2 km in 35.5 min. Determine the average velocity of the car over the 35.5 min span, and report your answer in km/hr.