An object with a mass of 10.00kg is launched from the ground with an initial upward velocity of 95.00m/s near the surface of Earth. Consider a linear model of the air resistance, kv, with v being the...


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An object with a mass of 10.00kg is launched from the ground with an initial upward velocity of 95.00m/s near<br>the surface of Earth. Consider a linear model of the air resistance, kv, with v being the variable velocity and k =<br>0.0365 kg/s?. Take the ground as the origin and upwards as positive direction.<br>1.<br>acceleration due to gravity.<br>Which of the following best describes the DE relating to the problem? Let t be the time, g be the<br>a. -10.00- 3.285 = 10.00 dv/dt<br>b. -10.00g +0.0365v = 10.00 dv/dt<br>c. -10.00g - 0.0365v = 10.00 dv/dt<br>d. -10.00g - 3.285 = -10.00dv/dt<br>2<br>Which of the following is closest to the general solution of the linear DE model, velocity as a function of<br>time? Let C be a real constant, exp()%3e0<br>a. v(t) = 1.346t + C<br>b. v(t) = -2688+Cexp(t/274.0)<br>c. v(t) = -2688+Cexp(-1/10.00)<br>d. v(t) = -2688+Cexp(-1/274.0)<br>%3D<br>

Extracted text: An object with a mass of 10.00kg is launched from the ground with an initial upward velocity of 95.00m/s near the surface of Earth. Consider a linear model of the air resistance, kv, with v being the variable velocity and k = 0.0365 kg/s?. Take the ground as the origin and upwards as positive direction. 1. acceleration due to gravity. Which of the following best describes the DE relating to the problem? Let t be the time, g be the a. -10.00- 3.285 = 10.00 dv/dt b. -10.00g +0.0365v = 10.00 dv/dt c. -10.00g - 0.0365v = 10.00 dv/dt d. -10.00g - 3.285 = -10.00dv/dt 2 Which of the following is closest to the general solution of the linear DE model, velocity as a function of time? Let C be a real constant, exp()%3e0 a. v(t) = 1.346t + C b. v(t) = -2688+Cexp(t/274.0) c. v(t) = -2688+Cexp(-1/10.00) d. v(t) = -2688+Cexp(-1/274.0) %3D

Jun 05, 2022
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