A car travels along a circular path of radius 300 ft, and its speed for a short period of time 0≤t≤5 s is v= 3(t+t^2 )ft/s, where t is in seconds. Determine the magnitude of its acceleration when t = 5s. O 42.46 ft/s2 O 42.64 ft/s² O 44.26 ft/s² O 44.62 ft/s2

8. DETAILS magnitude direction A chauffeur heads south with a steady speed of v, 22.0 m/s for t₂ = 3.00 min, then makes a right turn and travels at v, 25.0 m/s for ty- 2.20 min, and then drives northwest at v, 30.0 m/s for t= 1.00 min. For this 6.20-min trip, calculate the following. Assume +x is in the eastward direction, (a) total vector displacement (Enter the magnitude in m and the direction in degrees south of west.) (b) average speed (in m/s) m/s m south of west (c) average velocity (Enter the magnitude in m/s and the direction in degrees south of west.) m/s magnitude direction MY NOTES south of west ASK YOUR TEACHER

During 9.67 s, a motorcyclist changes his velocity from v1,x = -39.1 m/s and v1,y = 13.7 m/s to v2,x = -23.7 m/s and v2.y = 29.9 m/s. Find the components of the motorcycle's average acceleration during this process, a,v,x and av.y. Aav,x m/s? dav,y m/s? II

8:07 AM P. +234 813 145 1114 1 minute ago O+ 4653 91 . A stone thrown vertically upwards returns to the ground. Which of the following figures represents the velocity-time graph? ΣΤ T 2T ??? D. Vel n о

We know that the moon Callisto revolves around Jupiter during a period of 17.0 days.17.0 days. The average distance from the center of Jupiter to the center of Callisto is 1.95×109 m.1.95×109 m. What is the acceleration ?a of Callisto due to its motion around Jupiter?

A truck travels around a circular track. The position of the truck is described by the equations (400 · cos 0) m and 0 = (0.002 · t) rad, where t is in seconds. r = r = f@) Using cylindrical coordinates, a. Determine the truck's radial and transverse components of velocity at t = 4 s, v, and vo. b. Determine the truck's radial and transverse components of acceleration at t = 4 s, a, and ag.

F12-20. The position of a box sliding down the spiral can be described by r = [2 sin (2t)i + 2 cos tj - 2t²k] ft, where t is in seconds and the arguments for the sine and cosine are in radians. Determine the velocity and acceleration of the box when t = 2 s. 3 F12-20

In a laboratory test of tolerance for high acceleration, a pilot is swung in a circle 11.5 m in diameter. It is found that the pilot blacks out when he is spun at 30.6 rpm (rev/min). At what acceleration (in SI units) does the pilot black out? Express this acceleration in terms of a multiple of g. If you want to decrease the acceleration by 13.0% without changing the diameter of the circle, by what percent must you change the time for the pilot to make one circle? acceleration: acceleration as a multiple of g: percent of time change: m/s² %

15. A runner runs one lap on a 400 m oval in 50 s (i.e. he returns to his starting point in 50 s). What is the magnitude of his average velocity for this 50 s interval? 4.0 m/s 6.0 m/s     8.0 m/s 0.80 m/s zero 14. The magnitudes of two vectors  A and  B are 13 units and 8 units, respectively. What are the largest and smallest possible values for the magnitude of the resultant vector R = A +B ? largest  units smallest  units

An automobile travels along the circular path of radius p = 35 m such that its speed is increased by a = (1.5e') m/s2, where t is in seconds. Determine the magnitude of its velocity after it has traveled s = 20 m starting from rest. Neglect the size of the automobile. O 22.47 m/s O24.27 m/s O 27.42 m/s O 42.72 m/s