An athlete is running in a parking lot on which the coordinate axes are drawn. The coordinates of the athlete's position are given as x=-0.31t^2+7.2t+28 and y=0.22t^2-9.1t+30 as a function of time t. Find the magnitude of the athlete's acceleration vector a (m/s2) at t=15s. A)

An athlete is running in a parking lot on which the coordinate axes are drawn. The coordinates of the athlete's position are given as x=-0.31t^2+7.2t+28 and y=0.22t^2-9.1t+30 as a function of time t. Find the magnitude of the athlete's acceleration vector a (m/s2) at t=15s. 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

See similar textbooks

Related questions

Q: Flow Speed in a Channel The speed of water flowing in achannel, such as a canal or river bed, is…

A: Velocity of flow of water, V=1.486A23S12p23npart a: Speed of flow when A= 75 ft2 , S=0.05P=24.1 ft…

Q: 1. 115 10 2. 15 20 40 35 1 5 25 5

A: given:

Q: The accompanying figure shows the position versus time curve for an automobile over a period of time…

Q: 1 pv . vdV, where p (x, y, z) and v (x, y, z) are the pointwise fluid density and velocity,…

Q: Kinetic energy of a fluid flow can be computed by /pv. vdV, where p(x, y, z) and v(r, y, z) are the…

A: Given data

Q: A cube container with a dimension of 3m on each side is 60% full of water (density=1000kg/m^3). The…

A: Given Side, d = 3 m Density = 1000 kg/m3 Force, F = 25 kN Find Acceleration, a

Q: For the figure below, all dimensions in inch. A/The total Area:* /The value of Y-bar is: * the value…

Q: The motion of an object is described by the equation below. X =(0.780 m) cos(7t/5).Find the position…

Q: 4. Consider a situation similar to that in Experiment 2. Given the following distances traveled…

A: In the question, it is asked about average velocity. Average velocity can be calculated the total…

Q: question is designed every stu vectors. This is an essential part of many problem solving questions.…

A: The force is always acts in a direction opposite to that on which the body is moving.The magnitude…

Q: Required information An object like a bungee jumper can be projected upward at a specified velocity.…

A: Write the given values along with suitable variables.

Q: AB is a straight line, the coordinates of its ends are as follows: A= (1, 2) , B= (5, 4) right of A.…

A: Projections of a line AB are drawn on grid paper. 1 Grid = 1cm

Q: When calculating the average speed of an automobile (V =x/t), the distance (x) and the time elapsed…

A: Ans-D

Q: 500 450 400 350 300 250 200 150 100 50 0.005 0.01 0.015 0.02

A: Given The graph is drawn for stress and strain for the different percentages of the applied…

Q: Given data: U=2 m/s V=2.8 m/s t=0.3 s Find acceleration

A: Given data : Initial velocity=U Final velocity=V Time=t Required : Acceleration

Q: 60 20 IS RID 40 90 65

A: the view shown below step 2

Q: ᴀ ꜱᴛᴇᴇʟ ʜᴀꜱ ᴀ ʙʜɴ = 500. ᴡʜᴀᴛ ɪꜱ ɪᴛꜱ ᴀᴘᴘʀᴏxɪᴍᴀᴛᴇ ᴜʟᴛɪᴍᴀᴛᴇ ꜱᴛʀᴇɴɢᴛʜ ɪɴ ᴍᴘᴀ? a.250000 b. 2225 c.1725…

Q: borrowed a certain amount of money promising to pay it after each month. The amount of payable is…

A: The uniform gradient payment refers when in each period, the payment changes by same amount.

Q: 400 Ib 14' A 60° 450 Determine the Value of P

A: given data: let RA=normal reaction force at ARB=normal reaction force at B AC=4' CD=14' DB=2'

Q: 00 ᴍᴡ ᴘᴏᴡᴇʀꜱ ꜱᴛᴀᴛɪᴏɴꜱ ᴅᴇʟɪᴠᴇʀ 100 ᴍᴡ ꜰᴏʀ 2 ʜᴏᴜʀꜱ, 50 ᴍᴡ ꜰᴏʀ 8 ʜᴏᴜʀꜱ, ᴀɴᴅ ɪꜱ ꜱʜᴜᴛ ᴅᴏᴡɴ ꜰᴏʀ ᴛʜᴇ ʀᴇꜱᴛ…

A: Given:Load of the power plant, P=100 MWLoad delivered for 2 hours, P1=100 MWLoad delivered for 8…

Q: The solution to the second order differential equation: + a +b = 0 d'y da? dy de +b=0 is given by: y…

A: Second order differential equation: A equation is an equation of a function and one or more…

Q: If the velocity of water flowing through a pipe with a diameter of 134 mm is 1.89 m/s, which of the…

Q: When an electrical appliance whose power usage is X watts is run for Y seconds, it uses X x Y joules…

A: Energy consumed by any electrical appliance is given as: Where P is power and t is the time of…

Q: Q. The hydraulic conductivity (K) of an isotropic aquifer is 10 m/day. If the hydraulic head within…

A: Given data: The hydraulic conductivity of an isotropic aquifer is K = 10 m/day. The drop in…

Q: Given data: Initial velocity=8 m/s Final velocity=17 m/s Time=2 s Find acceleration

A: Given data : Initial velocity=U Final velocity=V Time=t To find : Acceleration

Q: R5.0 20.0 30.0 65.0 0'09 20.0

A: Q3- ANSWER 1-G71 U1.0 R1.0; This first line tells us that we are taking 1.0mm cuts(U) and the tool…

Q: ᴀ ꜰᴀɴ ᴡʜᴏꜱᴇ ꜱᴛᴀᴛɪᴄ ᴇꜰꜰɪᴄɪᴇɴᴄʏ ɪꜱ 40.6 % ʜᴀꜱ ᴀ ᴄᴀᴘᴀᴄɪᴛʏ ᴏꜰ 60000 ꜰᴛ3/ʜʀ ᴀᴛ 60ᴅᴇɢꜰ ᴀɴᴅ ʙᴀʀᴏᴍᴇᴛᴇʀ ᴏꜰ 30…

Q: 30° 30° F1 = 300 N 45° F = 500 N

A: For solution refer below images.

Q: An automobile reaches 120,000 miles. The dash calculator has never been reset and indicates an…

Q: The position of an object moving along an x axis is given by x = 3t – 412 + , where x is in meters…

A: Keeping a note as per ouro company guidelines we are supposed to answer only first three sub parts.…

Q: Kinetic energy of a fluid flow can be computed by pu - vdV, where p(r, y, z) and v(z,y, z) are the V…

A: Vector is a physical quantity that has magnitude and direction both. Scalar is a physical quantity…

Q: 1. Lea walks 20m north, 35m east, 10m north, and then 6m west before stopping. What is her…

Q: 1. A particle is displaced 60cm toward the north and is then given a second displacement of 90cm…

A: Let the initial position of particle be at 0

Q: Q3. This question is designed so that every student visualises and resolves x-y, r-0 and n-t…

A: Since we only answer up to 3 subparts so we will answer first 3. Please resubmit the question by…

Q: b) A ship is moving relative to the water and you are given the following velocities: Magnitude…

A: According to the information we have a ship moving relative to the water with a velocity for…

Q: On your new small car, you replace the factory-installed P185/75R14 tires with slightly larger…

A: The old tires code is P185/75R14 where, 185 represents the width of the tire in mm i.e. Width = 185…

Q: The displacement of a particle is given by s = 5t3 - 70t² + 105t - 57 where s is in feet and t is in…

Q: The diagram below represents a swimmer. The swimmer is capable to swim in a still water with a…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 1000 B00 600 400 200

A: As we knowDuctility is the percent elongation reported in a tensile test is defined as the maximum…

Q: 1/2 30 (a) 60 1/23/ P +1/2 30 (b) Pix Rx- R₁ y 30 30 60 P b

A: Draw the free-body diagram of the given beam.

Q: /manhour) 20 1 15000 5 20000 0.5 1 2 20 2 3 25 23000

A: GIven: Working hour per shift including break hour is 8 hour To determine: Fill the blank table

Q: Fill in the given table for the following shaft and hole limits. Do only (a) and (h). Use the metric…

Q: If a manufacturer sells x units of a certain product, revenue R and cost C (in dollars) are given by…

Q: (5000 + 600

Q: 1. The following table values were obtained by measuring the velocity of the fluid flowing in a pipe…

A: Consider the given table. Since the given distance r=0.07 m falls between 0.06 m and 0.08 m.…

Q: 01: Select the right answer for the following: The graph below describes the relationship between…

Question

20-

1,98

0,58

1,23

0,76

1,45

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

ᴀ ᴘᴜᴍᴘ ᴅᴇʟɪᴠᴇʀꜱ 0.3 ᴍ3/ꜱ ᴀɢᴀɪɴꜱᴛ ᴀ ʜᴇᴀᴅ ᴏꜰ 200 ᴍ ᴡɪᴛʜ ᴀ ꜱᴘᴇᴇᴅ ᴏꜰ 2000 ʀᴘᴍ. ꜰɪɴᴅ ᴛʜᴇ ꜱᴘᴇᴄɪꜰɪᴄ ꜱᴘᴇᴇᴅ
On your new small car, you replace the factory-installed P185/75R14 tires with slightly larger P205/75R14 tires. Find the missing number in each statement: Show all of your work. P185/75R14 (Old) P205/75R14 (New) Width(mm) Aspect Ratio (%) Height (in.) Diameter (in)
The position of a particle is given by s = 0.39t3 - 0.61t2 - 2.32t + 5.24, where s is in feet and the time t is in seconds. Plot the displacement, velocity, and acceleration as functions of time for the first 6 seconds of motion. After you have the plots, answer the questions as a check on your work.
One morning, Connie walks from her house to go to a store that is 500 ft, S 40o W from her house. She starts walking 120 ft, SW; then continues walking 100 ft, 10o S of E; then sees a friend who is 700 ft, 30o N of E from where she is. What is her friend’s location, (magnitude and direction) relative to her house? (Ans. 667.54 ft, 21.79o N of E) From her friend’s location, how far and in what direction should Connie walk to finally get to the store? (Ans. 1133.08 ft, 33.83o S of W)
Graph below represents the force on a 12 kg air mass as it passes through a jet engine. Immediately after entering the engine, the force is 9,039 N, and the force tapers linearly to zero once the air reaches the back of the engine 2.3 m later. If the air enters the engine with velocity 252 m/s, what is its exit velocity? (Please answer to the fourth decimal place - i.e 14.3225)
32 - If the velocity of water flowing through a pipe with a diameter of 134 mm is 1.89 m/s, which of the following is the volumetric flow of water? a) 0.01664 m³/h B) 0.02891 m³/h NS) 0.01895 m³/h D) 0.02665 m³/s TO) 0.02389 m³/s
You run a race starting from rest and accelerating at 0.35 m/s2 until you cross the finish line in 14.0 seconds. a) what is your final speed?
ᴀ ꜰᴀɴ ᴡʜᴏꜱᴇ ꜱᴛᴀᴛɪᴄ ᴇꜰꜰɪᴄɪᴇɴᴄʏ ɪꜱ 40.6 % ʜᴀꜱ ᴀ ᴄᴀᴘᴀᴄɪᴛʏ ᴏꜰ 60000 ꜰᴛ3/ʜʀ ᴀᴛ 60ᴅᴇɢꜰ ᴀɴᴅ ʙᴀʀᴏᴍᴇᴛᴇʀ ᴏꜰ 30 ɪɴ ʜɢ ᴀɴᴅ ɢɪᴠᴇꜱ ᴀ ꜱᴛᴀᴛɪᴄ ᴘʀᴇꜱꜱᴜʀᴇ ᴏꜰ 2 ɪɴ ᴏꜰ ᴡᴀᴛᴇʀ ᴄᴏʟᴜᴍɴ ᴏɴ ꜰᴜʟʟ ᴅᴇʟɪᴠᴇʀʏ. ᴡʜᴀᴛ ꜱɪᴢᴇ ᴏꜰ ᴛʜᴇ ᴇʟᴇᴄᴛʀɪᴄ ᴍᴏᴛᴏʀ ꜱʜᴀʟʟ ʙᴇ ᴜꜱᴇᴅ ᴛᴏ ᴅʀɪᴠᴇ ᴛʜɪꜱ ꜰᴀɴ ɪɴ ʜᴘ? ɴᴏᴛᴇ: ᴜꜱᴇ ᴀɪʀ ᴅᴇɴꜱɪᴛʏ ᴏꜰ 1.2ᴋɢ/ᴍ3 ʀᴏᴜɴᴅ ʏᴏᴜʀ ᴀɴꜱᴡᴇʀ ᴛᴏ 2 ᴅᴇᴄɪᴍᴀʟ ᴘʟᴀᴄᴇꜱ.
The MDF sheet shown in the figure below iscut by a laser pointer, which moves through the curved groove. Your distance in meters measured along the slot is given by s = 9t2– 2t, with t in seconds. The laser is at A at time t = 0.2 s and at B when t = 4.1 s. Determine to two decimal places of precision:a) the magnitude of the average acceleration between A and B;b) the average vector acceleration between A and B
ᴡʜᴀᴛ ʟᴏᴀᴅ ɪɴ ɴ ᴍᴜꜱᴛ ʙᴇ ᴀᴘᴘʟɪᴇᴅ ᴛᴏ ᴀ 25 ᴍᴍ ʀᴏᴜɴᴅ ꜱᴛᴇᴇʟ ʙᴀʀ 2.5 ᴍ ʟᴏɴɢ (ᴇ = 207 ɢᴘᴀ. ᴛᴏ ꜱᴛʀᴇᴛᴄʜ ᴛʜᴇ ʙᴀʀ 1.3 ᴍᴍ?ᴀ) 52840 ɴʙ) 53000 ɴᴄ) 60000 ɴᴅ) 42000 ɴ
MECHANICAL ENGINEERING UPVOTE WILL BE GIVEN. PLEASE WRITE THE COMPLETE SOLUTIONS LEGIBLY. SHOW THE STEP-BY-STEP PROCESS WITH SHORT COMMENT/EXPLANATION. ANSWER IN 4 DECIMAL PLACES. Two gaseous streams containing the same fluid enters a mixing chamber and leaves as a single stream. For the first gas the entrance conditions are A1=500 cm², v1=230 m/s, p1=1.60 kg/m³. For the second gas the entrance conditions are A2= 300 cm³, m2=8.84 kg/s, v2=0.502 m³/kg. The exit stream conditions is v3=130 m/s and v3=0.437 m3/kg. Determine the following: (a) the total mass flow leaving the chamber (kg/sec) (b) the velocity of the gas at 2. (m/sec)
MECHANICAL ENGINEERING UPVOTE WILL BE GIVEN. PLEASE WRITE THE COMPLETE SOLUTIONS LEGIBLY. SHOW THE STEP-BY-STEP PROCESS WITH SHORT COMMENT/EXPLANATION. ANSWER IN 4 DECIMAL PLACES. A wind turbine is rotating at 15 rpm under steady winds flowing through the turbine at a rate of 42,000 kg/s. The tip velocity of the turbine blade is measured to be 250 km/h. If 180 kW power is produced by the turbine, Determine the following (a) the average velocity of the air (b) the conversion efficiency of the turbine. Take the density of air to be 1.31 kg/m³.