4. The function v(t), 0 S t 8, gives the speed (in feet/min) of a crawling beetle at time t minut...
6. (2 marks) The position of an object "S" (in meters) at time t is given by the function: s(t) = (3) cos(t) + 41? a) What is the velocity when t = 27 seconds? Indicate the correct units and round your answer to one decimal place. b) What is the acceleration when 1 = 27 seconds? Indicate the correct units and round your answer to one decimal place. 7. (4 marks) Solve the following related rates problems: a) A...
e) y_3cos(x +4) +4 MaxMinAmp riod f y 5 cos 2n(x -0.5)+5 V.T Max Amp Min AC SİNE function has a maximu m value of 4, aminimum value of 2, a phase shift of 1 rad to the right, and a period of 4. Write an equation for the function and graph the function [KU, 6m] 2. Min _Armp period. P.S V.T. . Equation 3. Determine the equation for the following a) COSINE function Equation b) SINE function Equation 4....
please part B 4. The height and speed of a projectile launched with a speed of vi at an angle w is given by: h(t) = vyt sing - gt? v(e) = //-zvgtsing + { g27% The projectile will strike the ground when h(t)=0 which gives the time to hit tat2(11/8) sino. Assume o = 30°, v = 40 g = 9.81 m/s?; (a) By plotting h(t) and (t) on the same graph for Ost < 12 (s), determine the...
aliasing? A continuous-time system is given by the input/output differential equation 4. H(s) v(t) dy(t) dt dx(t) + 2 (+ x(t 2) dt (a) Determine its transfer function H(s)? (b) Determine its impulse response. (c) Determine its step response. (d) Is the stable? (a) Give two reasons why digital filters are favored over analog filters 5. (b) What is the main difference between IIR and FIR digital filters? (c) Give an example of a second order IIR filter and FIR...
An object moves up and down. Its height, h in feet, is a function of time, t in seconds. It is known that • The domain is (-2,4). • The initial height is h(0) = 7 feet. • The graph of the velocity is h' (ft/s) 12 А. t(s) 1 -8 -12 1. What intervals is the height is increasing or decreasing? Enter answers using interval notation. Enter multiple intervals as comma-separated list. increasing (0.2) decreasing (-2,0), (2, 4) 2....
The postion (in thousands of feat) of a car driving along a straight road at ime t in minutes is givan by the function y- s(t) that is pictured below 14 10 10 1)? Lat v t de ote ta velocity at the Car n thousands of feet per minute> at time t in minutes) which graph A F is the best apresentative of the derivativa uction ? ▼ 10 10 10 Nota: the vartical axs of these graphs may...
(a) At time t 0, a one-dimensional bound system is in a state described by the normalized wave function V(r,0). The system has a set of orthonormal energy eigenfunctions (), 2(x),.. with corresponding eigenvalues E, E2, .... Write down the overlap rule for the probability of getting the energy E when the energy is measured at time t 0 (b) Suppose that a system is described by a normalized wave function of the form (,0) an(r), where the an are...
Question2 At time t-0 s, the rider has a velocity of v-2 m/s. He pushes the break which generates a force of F-7t a shown, The motor generates a moment of 50t, and the radius is a function of time. Determine speed of rider at 3s. Mass of rider and cart is 50 kg Hint: (x (m +Mdt(rx (mv)z 2 N-Sot Azi
the velocity of a particle traveling in a straight line is given by v=(6t-3t^2)m/s, where t is in seconds, if s=0 when t= 0. determine the particles deceleration and position when t=3s. how far has the particle traveled during the 3s time interval and what is its average speed?