Suppose a small cannonball weighing 20 pounds is shot vertically upward, with an initial velocity v0 = 260 ft/s. the answer to the question "how high does the cannonball go? " depends on whether we take air resistance into account. if air resistance is ignored and the positive direction is upward, then a model for the state of the cannonball is given by d2s/dt2 = −g (equation (12) of section 1.3). since ds/dt = v(t) the last differential equation is the same as dv/dt = −g, where we take g = 32 ft/s2. if air resistance is incorporated into the model, it stands to reason that the maximum height attained by the cannonball must be less than if air resistance is ignored. (a) assume air resistance is proportional to instantaneous velocity. if the positive direction is upward, a model for the state of the cannonball is given by m dv dt = −mg − kv, where m is the mass of the cannonball and k > 0 is a constant of proportionality. suppose k = 0.0025 and find the velocity v(t) of the cannonball at time t. use the result obtained in part (a) to determine the height s(f) of the cannonball measured from ground level. find the maximum height attained by the cannonball. (round your answer to two decimal places.)
Answers: 3
Physics, 22.06.2019 06:00, ahmedeldyame
Why don't you see your reflection in water with waves or repples
Answers: 1
Physics, 22.06.2019 15:00, chynahgibsonwinfrey
What happens when a rubber rod is rubbed with a piece of fur?
Answers: 1
Physics, 22.06.2019 16:50, justkevin1231
Aresistor with an unknown resistance is connected in parallel to a 9 ω resistor. when both resistors are connected in parallel to an emf source of 21 v, the current through the unknown resistor is measured with an ammeter to be 4 a. what is the resistance of the unknown resistor? answer in units of ω.
Answers: 3
Suppose a small cannonball weighing 20 pounds is shot vertically upward, with an initial velocity v0...
Mathematics, 23.10.2020 19:00
Mathematics, 23.10.2020 19:00