Mathematics, 01.05.2021 04:50 microwave13016
Let v(t) be the velocity, in feet per second, of a skydiver at time t seconds, t ≥ 0. After her
parachute opens, her velocity satisfies the differential equation dv
dt
= −2(v + 16), with initial condition v(0) =
−50.
(a) Find the particular solution by separation of variables for the velocity in terms of t that satisfies the
initial condition. (HINT: Leave -2 on the right side.) (10 points)
(b) What is the acceleration of the skydiver at t = 0? (5 points)
(c) At t = 0, is the speed of the skydiver increasing or decreasing? Justify your answer. (5 points)
(d) At the time her parachute opens, the skydiver is at an altitude of 4000 feet. What is the altitude of
the skydiver at t = 10 seconds? Use the Nspire to calculate for you. Show the expression you
entered into the calculator for full credit.
Answers: 1
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Ican interpret and represent the remainder in division calculations sensibly for the context (eg 27.4 in calculating average height in cm: $27.44 if it represents an amount of money) solve the following problems. 15) the wildlife park charges $25.50 dollars per person to enter their park if the park made $15096 dollars today, how many people entered the park? 16) ms adams plus 2,230 other keen runners ran a marathon: between them they ran 94817.5km. how many km did each competitor run?
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Write the component forms of vectors u and v, shown in the graph, and find v − 2u. u= (< -3, -2> , < -3, -1> , < -2, -2> , < -2, -1> ) v= (< -5, 1> , -4, 0> , < 0, -4> , < 1, -5> ) v-2u= (< 5, 3> , < 0, 4> , < 4, 0> , < 5, -3>
Answers: 3
Let v(t) be the velocity, in feet per second, of a skydiver at time t seconds, t ≥ 0. After her
pa...
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