A person travels by car from one city to another with different constant speeds between pairs of cities. She drives for 40.0 min at 50.0 km/h, 8.0 min at 70.0 km/h, and 35.0 min at 35.0 km/h and spends 40.0 min eating lunch and buying gas. Determine the average sped for the trip. Determine the difference between the intial citties along the route.

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What are some important factors to consider when choosing a warm-up before your workout?

Suppose that a mass of 2 kg is attached a spring whose spring constant is 50. the system is damped such that b = 12 . the mass is set in motion with an initial velocity of -8 m/s at a position 0 meters from equilibrium. set up and solve a differential equation that models this motion. write your solution in the form a cos ( ω t − α ) where α is a positive number. use your solution to fill in the information below: what is the amplitude of the motion? what is the value of ω ? what is the phase shift?