You walk 1,261 m east and then 798 m south in a total time of 30 minutes. Compute the magnitude of your average velocity in m/s.
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- How far (in m) does a car going 25 m/s travel in 7 s?A 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.)You expect your average speed to be 60 miles per hour on this trip. Determine how many hours of driving it will take for you to get to Mackinaw City one-way? It is 226 miles one way according to the trip planner.
- 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. metersDuring 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 person runs at a pace of 6.52mi/hr. How long does it take the person to run a 15.0km race? (1mi=1.61km)
- The time it takes a car to travel from City A to City B is measured as 51 min ± 8 min. The time it takes the car to travel from City B to City C is measured as 47 min ± 6 min. What is the total measured time for the car to travel from City A through City B to City C?A truck starts out at position x = 3.2 mi and y = 6.2 mi and winds up at position x = 5.6 mi, y = 2.2 mi. Find the magnitude and direction of the truck's displacement.Two boats leave a dock at the same time. One boat travels south at 36 mi/hr and the other travels east at 48 mi/hr. After half an hour, how fast is the distance between the boats increasing? Let x be the distance the eastbound boat has traveled, y be the distance the southbound boat has traveled, and z be the distance between the boats. Write an equation that relates x, y, and z
- To visit your friend, you first drive on a highway at 55 mi/h for 1.6 hours and then drive on a local road at 20 mi/h for 0.7 hours. What is the average velocity of your trip in mi/h to your friend's home? Your Answer: AnswerThe velocity of a particle moving along the x-axis is defined by V= kx3 – 4x2 +6x, where V is in m/sec., x is in meters, and k is a constant. If K=1 Compute the value of the acceleration after x= 2 meters.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.