Hitting a Golf Ball A golf ball is hit so that its heighth in feet after t seconds is h(1) = =16r² + 64t.(a) What is the initial height of the golf ball?(b) How high is the golf ball after 1.5 seconds?(c) Find the maximum height of the golf ball.(d) What is the domain and range of h in the con-text of this application?

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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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Tp = Fq +°P/Q• (1) Here ip/Q is the "position of point P relative to point Q." Similarly the velocities of the two points are related by õp = bq + Up/Q- (2) The quantity õp/Q is the velocity of point P relative to point Q. I want you to use these ideas to solve the following problems. 1. The figure below shows a view from above of a large boat in the middle of the ocean. So that the crew on the ship can get exercise on long journeys, there is a circular walking/running track on the back deck. CA B- -D Suppose that the radius of the track is R = 6 m, and a person is running on the track at a constant speed of v = 3m/s as measured with a stopwatch by a crew-mate on board the ship. Suppose the runner is running counter-clockwise around the track when viewed from above. Write the velocity vector of the runner in terms of basis (ê1, ê2) as perceived by a crew-mate on the ship. (a) What is the velocity vector when the runner is at point A? (b) What is the velocity vector when the runner is…
A mechanic changing a tire rolls a wheel along the ground towards the car. The radius of the wheel is 42cm, and the speed of the wheel as it rolls is 2 revolutions per second. Height Above Ground (m) radiu HIDE wheel spet Time The diagram above illustrates the vertical motion of a point on the tire over time. It is possible to model the height of this point using a sinusoidal function of the form h(t)=-a sin[b(t-c)]+d. a) Determine the length of time required for one revolution of the tire. b) State the numerical value for each of the parameters a, b, c & d. And write a function representing the motion of the point in the form h(t)= -a sin[b(t−c)]+d.
I could really use some assistance on part b,c,d,e,f
[Q 4] (a) The equation of a hill path is given by: Y = -0.001 x? + 0.2 x A small vehicle of mass 80 Kg starts from rest at the bottom of hill (point (0,0)) and accelerated toward the top of hill. Find maximum allowable acceleration to keep the vehicle in contact with the surface when reaching top of hill.
Particles C and D are moving in the positive x-direction, with A behind B initially. Particle A has speed 20 m/S and mass 1 g whilst B has speed 12 m/s and mass 3 g. At some time later the particles coalesce. If momentum is conserved, what is the loss in KE? (A) There is a gain in KE of 24 ] (B) 24] (C) 01 since energy is conserved (D) 0.024]
Q: for the following equation, what are the units of x., u, and a if X, is the distance in m. t, is the time in second? [X. x3 = + u?t +
E and F please and thank you!
1 An object of mass 125 kg is released from rest from a boat into the water and allowed to sink. While gravity is pulling the object down, a buoyancy force of times the weight of the object is pushing the object up (weight = mg). If we assume that water 40 resistance exerts a force on the object that is proportional to the velocity of the object, with proportionality constant 10 N-sec/m, find the equation of motion of the object. After how many seconds will the velocity of the object be 90 m/sec? Assume that the acceleration due to gravity is 9.81 m/ sec2. Find the equation of motion of the object. X(t) = %3D
Don't Use Chat GPT Will Upvote And Give Solution In 30 Minutes Please
Please do this carefully.
Use Triple Integral to solve the problem.

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