Find the total distance traveled by a particle given its velocity functionQuestionFind the total distance traveled by a particle according tothe velocity function v(t) =-4t + 6 m/sec over the timeinterval 0, 5|. Enter your answer as an exact fraction ifnecessary and do not include units in your answer.Provide your answer below:• PreviousNex

Given, Velocity function = v(t) = (-4t + 6) m/s Distance covered between t1 = 0 s and t2 = 5 s is to…

Answered: Find the total distance traveled by a…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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A snowboarder’s velocity is tracked by a pulse-laser velocimeter as she descends the slope. These velocity data are stored and analyzed via an embedded curve fitting procedure to determine a velocity function of v(t) = 1.5t2 + 2t + 2 (t is time in seconds and v is velocity in ft/s). At time equal 0, position (x) is zero. Find her position (e.g., distance traveled), velocity and acceleration formulations and values of each when time equals 15 seconds. Clearly write the formulas before finding respective values at t = 15 seconds!
Q1. The image below shows an example of "absolute dependent motion analysis", where the motions of two objects depend on each other, and the goal is to find the relations in their motions (i.e., in their positions, velocities, and accelerations). Please put the suggested steps of analysis in the correct order. VA A B VB Differentiate the entire equation with respect to time, and extract the relation in velocities. Repeat for acceleration if needed. Set up a coordinate (s) along the direction of motion from a fixed point (O) or a fixed datum line. Represent the positions of the objects respectively. In some cases intermediate objects need to be considered too and their positions need to be represented as well. Recognize the constant length(s) and find the depending geometric relations between the position variables.
1) From 0 to 10 sec, find alphaA1, alphaC1 in rad/s^2, omegaA1(t), omegaC1(t) in rad/s, thetaA1(t), thetaB1(t) and thetaC1(t) in rad, and the distance made by the load s1 in inches and in feet made by the load during this time.
The velocity of a particle traveling in a straight line is given by v= (6t – 3t2) m/s, where t is in seconds. Suppose that s = 0 when t = 0. Part C How far has the particle traveled during the 3.7-s time interval? Express your answer to three significant figures and include the appropriate units. HÀ ST = Value Units Submit Request Answer Part D What is the average speed of the particle for the time period given in previous part? Express your answer to three significant figures and include the appropriate units. Value Units Vave = Submit Request Answer
For the following concentration expressions, indicate whether they are uniform or nonuniform and in how many dimensions (OD, 1D, 2D, or 3D), and steady or unsteady. Then for the following control volume and origin, and table of constants, use Excel or Matlab to graph profiles that show how concentration changes within the control volume and over time to a limit of 20 for the following: C(x,0,0,0), C(0,y,0,0), c(0,0,z,0) and C(0,0,0,t). On each graph, show which parameters are held constant, the CV boundaries, and the point where all four plots overlap. 20 C(x=0) 10 a 0.0001 b 0.001 20 0.01 y k 0.1 100 All of the following functions are C(space, time) and so not necessarily just x as suggested. a. C,(x)= C,(x = 0)x exp{- ax} d. C, (x) = C, (x = 0)x exp{-ax}x exp{- by² }x exp{-cz²}x exp{- kt}
Thermal conductivity k is a measure of the ability of a material to conduct heat. For conduction heat transfer in the x-direction through a surface normal to the x-direction, Fourier’s law of heat conduction is expressed as: Q=-kA.dT/dx where ?̇ is the rate of heat transfer and A is the area normal to the direction of heat transfer. Determine the primary dimensions of thermal conductivity (k). Look up a value of k and verify that its SI units are consistent with your result. Write a set of primary SI units for k.
Q1/ The figure below shows such an LSPB trajectory, where the maximum velocity V 60 deg/sec. In this case, the times are given as t.= 5 sec and t 30 sec. In addition, the joint angles in beginning and the ending q=20 deg and qf = 70 deg , respectively. For these required data , determine the following : 1- The position function and its profile. 2- The velocity function and its profile. 3- The acceleration function and its profile. 4- The function of jerk variable and what is the nature of jerk? 5- The position, velocity, and acceleration at tm-13 sec. te tm ty te ty t
c) When small aerosol particles move through air or water, the Reynolds number is very small (Re < 1). Such flows are called creeping flow. The aerodynamic drag on an object in creeping flow is a function only of its speed, V some characteristic length scale, L of the object and fluid viscosity, µas indicated in Figure 11. Use dimensional analysis to generate a relationship for Fp as a function of the independent variables. The dimensions of Fp are MLT2. FD L Figure 11
**Problem 1.15 Suppose you wanted to describe an unstable particle, that spon- taneously disintegrates with a "lifetime" t. In that case the total probability of finding the particle somewhere should not be constant, but should decrease at (say) an exponential rate: too P(t) = | V(x,1)1²dx = e=1/*. -0- A crude way of achieving this result is as follows. In Equation 1.24 we tacitly assumed that V (the potential energy) is real. That is certainly reasonable, but it leads to the "conservation of probability" enshrined in Equation 1.27. What if we assign to V an imaginary part: V = Vo – ir, where Vo is the true potential energy and r is a positive real constant? (a) Show that (in place of Equation 1.27) we now get dP 21 = --P. dt (b) Solve for P(1), and find the lifetime of the particle in terms of r.
Your assigned value of y is 30 The following fluids specific heats are used. Fluid Comments X (liquid) Y (ideal gas) Z (liquid) Cp 4.2 kJ/(kg °C) 1.01 kJ/(kg °C) 2.03 kJ/(kg °C) does not change phase R = 287 J/(kg K) does not change phase Note: if any of these problems is impossible, state impossible, rather than a numerical answer. 1) A shell-and-tube heat exchanger with two shell passes and four tube T shell, in passes is used to heat (0.5 + y/40) kg/s of liquid Z from 10°C to 50°C. using 1.5 kg/s of liquid X entering at Trube,in (80 + y/2)°C. The over-all heat transfer coefficient is U = (150 – y) Figure 1: For use in Problem 5 W/(m² °C). a. Find the exit temperature of Fluid X: Tx,out = °C (± 1°C) b. Find the required heat transfer surface area: A = m² (± 1%)
The crank A02 of the following mechanism is rotating at 50 rad/sec in counter clockwise direction. Find the following velocities by creating a velocity diagram in SolidWorks. Submit the SolidWorks file in the below submission link. (All dimensions are in mm) 02A AB BC AC CD BO4 30 50 30 60 100 60 30 В 0204 A 140 02 04 30.00 1) What is the velocity of C? Vc = mm/sec (10 Points) at an angle of degrees (5 Points) 2) What is the velocity of D? và - mm/sec (10 Points) at an angle of degrees (5 Points) 3) What is the velocity of B? Vb = mm/sec (10 Points) at an angle of degrees (5 Points) tre 4) What is the angular velocity of link 3? w3 = ]rad/sec (10 Points) : (5 Points) 5) What is the angular velocity of link 5? w5 = rad/sec (10 Points) * (5 Points)
A bicycle moves along a straight road such that its speed is described by the continuous function f(t). You are asked to determine the magnitude of the displacement of the bicycle between 5.1 and 21 seconds. To do this, you must solve the integral below. What should the bounds on the integral be? Write your answer to one decimal place. As - fo f(t)dt a = Number b = Number seconds seconds

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