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The speed of a falling skydiver is v(t)52 (1-et/3) in metres per second, where t is...
3) The velocity v(t) of a skydiver falling to the ground is governed by the equation...
3) The velocity v(t) of a skydiver falling to the ground is governed by the equation m dv/dt mg-kv, where g is the acceleration due to gravity, and k>0 is the drag constant associated with air resistance a) Find the analytical solution for V(t), assuming v(0) 0 b) Find the limit of v(t) as t goes to infinity. This is known as the terminal velocity. c) Give a graphical analysis of this problem, and re-derive the formula for the terminal...
3. (10 marks) Suppose you measured the speed of a shuttlecock falling, and got the following data points time (s) v...
3. (10 marks) Suppose you measured the speed of a shuttlecock falling, and got the following data points time (s) velocity (m/s) 0.25 3.3 0.5 0.75 4.8 5.5 5.9 1.25 1.5 1.75 (a) Use a Riemann sum to approximate the total distance travelled by the shuttlecock (b) Use the trapezoidal rule to approximate the total distance travelled by the shuttlecock. (c) Use the central difference formula to approximate the acceleration of the shuttlecock when t =0.75 s. (d) A model...
Question 9 You should be able to answer this question after studying Unit 8. An object moves along a straight line, and its speed v (in metres per second) when at a position r (in metres) from its st...
Question 9 You should be able to answer this question after studying Unit 8. An object moves along a straight line, and its speed v (in metres per second) when at a position r (in metres) from its starting point can be modelled by the differential equation 10 marks 0 dr0, 20), where k is a positive constant (a) Find the general solution of this differential equation in explicit form (b) The speed of the object at its starting point...
Suppose the velocity V in meters per second) of a runner during the first few seconds of e race is given by t ins 0.5 11.5 2 2.5 V in m/s0 4 8.515.119 25 in the tv endpoint approximation and width 0....
Suppose the velocity V in meters per second) of a runner during the first few seconds of e race is given by t ins 0.5 11.5 2 2.5 V in m/s0 4 8.515.119 25 in the tv endpoint approximation and width 0.5 Plot these points in the plane. Sketch the velccity curve. Estimate the distance traveled by the runner by estimating the area under the velocity curve; use rectangles with heights given by a right endpoint approximation and width plane....
1) A ball moves with velocity v=(2, 3.4, 6) m/s (meter per second). At time t...
1) A ball moves with velocity v=(2, 3.4, 6) m/s (meter per second). At time t = 0, it is located at position p=(0, 5, 2). a) Find the equation of its path in parametric form. b) At time t = 10 second, what is the ball's position?
1) A ball moves with velocity v=(2, 3.4, 6) m/s (meter per second). At time t...
1) A ball moves with velocity v=(2, 3.4, 6) m/s (meter per second). At time t = 0, it is located at position p=(0, 5, 2). a) Find the equation of its path in parametric form. b) At time t = 10 second, what is the ball's position? 2) Consider the plan x + 2y+8z - 90 = 0. a) What is the normal vector of this plane? b) What is the distance of...
Math 1300: Calculus I Project: Riemann Sums 1. A girl is running at a velocity of...
Math 1300: Calculus I Project: Riemann Sums 1. A girl is running at a velocity of 12 feet per second for 10 seconds, as shown in the velocity graph below. v(t) 12 10 6 t 7 10 How far does she travel during this time? This distance can be depicted graphically as a rectangle. Shade such a rectangle and explain why it gives the distance. 2. Now the girl changes her velocity as she runs. Her velocity graph is approximately...
Riemann Sums Math 1300: Calculus I Project: Riemann Sums 1. A girl is running at a...
Riemann Sums
Math 1300: Calculus I Project: Riemann Sums 1. A girl is running at a velocity of 12 feet per second for 10 seconds, as shown in the velocity graph below. v(t) 12 10 6 t 7 10 How far does she travel during this time? This distance can be depicted graphically as a rectangle. Shade such a rectangle and explain why it gives the distance. 2. Now the girl changes her velocity as she runs. Her velocity graph...
Question 1 Question 2: Question 3: Question 4: Question 5: Question 6: Question 7: Question 8:...
Question 1
Question 2:
Question 3:
Question 4:
Question 5:
Question 6:
Question 7:
Question 8:
Please number each question. Thank you
Question 1 Not yet answered Marked out of 4.00 Flag question If the number density of electrons in a wire is n 1.00 x 1028 m-3, at what drift velocity must they travel through a wire of diameter d 0.560 mm to deliver a current of 7.20 A? Give your answer in mm s1 to 3 significant figures...
how to find abs error of time 25 ? help me fill out the blanks and...
how to find abs error of time 25 ?
help me fill out the blanks and show calculation of F
centripetal...
Centripetal Force and Acceleration For a body in motion to ch force on a body is in the sa acceleration in that the speed i direction opposite to that of the velocit undergoing negative acceleration. In thes speed, not direction. In this lab we lo wdy in motion to change either its speed or direction, a force is required....
3) The velocity v(t) of a skydiver falling to the ground is governed by the equation m dv/dt mg-kv, where g is the acceleration due to gravity, and k>0 is the drag constant associated with air resistance a) Find the analytical solution for V(t), assuming v(0) 0 b) Find the limit of v(t) as t goes to infinity. This is known as the terminal velocity. c) Give a graphical analysis of this problem, and re-derive the formula for the terminal...
3. (10 marks) Suppose you measured the speed of a shuttlecock falling, and got the following data points time (s) velocity (m/s) 0.25 3.3 0.5 0.75 4.8 5.5 5.9 1.25 1.5 1.75 (a) Use a Riemann sum to approximate the total distance travelled by the shuttlecock (b) Use the trapezoidal rule to approximate the total distance travelled by the shuttlecock. (c) Use the central difference formula to approximate the acceleration of the shuttlecock when t =0.75 s. (d) A model...
Question 9 You should be able to answer this question after studying Unit 8. An object moves along a straight line, and its speed v (in metres per second) when at a position r (in metres) from its starting point can be modelled by the differential equation 10 marks 0 dr0, 20), where k is a positive constant (a) Find the general solution of this differential equation in explicit form (b) The speed of the object at its starting point...
Suppose the velocity V in meters per second) of a runner during the first few seconds of e race is given by t ins 0.5 11.5 2 2.5 V in m/s0 4 8.515.119 25 in the tv endpoint approximation and width 0.5 Plot these points in the plane. Sketch the velccity curve. Estimate the distance traveled by the runner by estimating the area under the velocity curve; use rectangles with heights given by a right endpoint approximation and width plane....
Math 1300: Calculus I Project: Riemann Sums 1. A girl is running at a velocity of 12 feet per second for 10 seconds, as shown in the velocity graph below. v(t) 12 10 6 t 7 10 How far does she travel during this time? This distance can be depicted graphically as a rectangle. Shade such a rectangle and explain why it gives the distance. 2. Now the girl changes her velocity as she runs. Her velocity graph is approximately...
Riemann Sums
Math 1300: Calculus I Project: Riemann Sums 1. A girl is running at a velocity of 12 feet per second for 10 seconds, as shown in the velocity graph below. v(t) 12 10 6 t 7 10 How far does she travel during this time? This distance can be depicted graphically as a rectangle. Shade such a rectangle and explain why it gives the distance. 2. Now the girl changes her velocity as she runs. Her velocity graph...
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Question 3:
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Question 8:
Please number each question. Thank you
Question 1 Not yet answered Marked out of 4.00 Flag question If the number density of electrons in a wire is n 1.00 x 1028 m-3, at what drift velocity must they travel through a wire of diameter d 0.560 mm to deliver a current of 7.20 A? Give your answer in mm s1 to 3 significant figures...
how to find abs error of time 25 ?
help me fill out the blanks and show calculation of F
centripetal...
Centripetal Force and Acceleration For a body in motion to ch force on a body is in the sa acceleration in that the speed i direction opposite to that of the velocit undergoing negative acceleration. In thes speed, not direction. In this lab we lo wdy in motion to change either its speed or direction, a force is required....
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