s v(t) = {0.8t²i + 12t¹/²j+5k} m/s.The velocity of a particle is defined as Part ADetermine the magnitude of the particle's acceleration when t = 3 s.Express your answer to three significant figures and include the appropriate units.a = ValueSubmitPart Bα =SubmitPart CDetermine the coordinate direction angle a of the particle's acceleration when t = 3 s.Express your answer using three significant figures.IVE ΑΣΦ | 11 IvecB =SubmitμAPart DRequest Answery =Determine the coordinate direction angle 3 of the particle's acceleration when t = 3 s.Express your answer using three significant figures.15. ΑΣΦ | 11 | vecSubmitRequest AnswerUnitsRequest Answer2) ?Request Answer?Determine the coordinate direction angle y of the particle's acceleration when t = 3 s.Express your answer using three significant figures.15. ΑΣΦ | 11 | vec[]?O?

Given Data- A velocity equation given we have to find acceleration and coordinate angle

Answered: The velocity of a particle is defined…

Engineering

Mechanical Engineering

The velocity of a particle is defined as v(t) = {0.8t²i + 12t¹/2j+5k} m/s.

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: An object of mass 2 kg is subjected to a varying force, and it moves along a straight line with time…

Q: A car moves along a straight line whose equation of motion is given by V= 2t³ + 3t? – 2t, where (V)…

Q: The velocity of an object is given by: v (t) = 4t - 3t² Where v is in m/s and t is in seconds. If…

Q: A particle travels along a straight-line path. Its displacement increases linearly in the positive…

Q: The mean velocity of fluid flow do not change with respect to time at any point is Non-uniform flow…

A: A fluid flow is said to be non-uniform when the mean velocity of flow changes with respect to the…

Q: A car moves along a straight line whose equation of motion is given by V= 2t3 + 3t2 – 2t, where (V)…

A: Given Data v=2t3+3t2-2t As we know, a=dvdta=d2t3+3t2-2tdta=6t2+6t-2

Q: Select from the list below the equation that represents the applic ag = a4 + a × rB/A – W²TB/A• B 3…

A: Given:

Q: Liquid in a fixed volume closed container is is mixed. X + 400 kJ of work is done to mix the…

A: Given- Propeller Work is done on the system (WD)P = -400kJ ( - ve shows work is done on the system)…

Q: Th valve of an oil carrying duct shown in the Figure is being closed such that the oil particles…

A: Given Data

Q: The equation of motion of a particle is s = 8t2 + 3t – 10, where s is in meters and t in seconds.…

A: Given data, s= 8t²+3t-10 Need to find initial velocity

Q: The equation v=vo+at is applicable provided that rectilinear motion O velocity is constant…

Q: The acceleration of a particle is given by a = 2t—10. Determine the velocity and displacement as…

Q: A flow is defined by its velocity components u = (2x² + 2y²) ft/s and v = (-4ry) ft/s, where z and y…

A: u = (2x2 + 2y2 ) ft/s v = (-4xy) ft/s

Q: The force in Newtons on a particle directed along the z-axis is given by F(x)=exp(-(x/5)+9) for x2 0…

Q: The velocity of a particle which moves along the s-axis is given by s = 41-3t² m/s where t is in…

A: Given Data:- Velocity of the particles s.=41-3t2 t=0.9 s to t=4.9 s To find:- Displacement of the…

Q: A 2.0 kg object is acted upon by a spring force characterized by the function F=-6x, (this means k =…

Q: air flow steadily through a along pipe with a speed of u=50+0.5x,where x is the distance along the…

A: Given data: The air flows steadily through a long pipe with a speed that is u=50+0.5x m/sec where x…

Q: The position of a particle that moves in free fall motion is defined by x = - 3t2+ 12t – 6 m, where…

Q: 1. If you consider a particle moving in horizontal motion in a medium which has a retarding force…

A: Write the expression of retarding force. Fretarding∝vmdvdt=-mkvdvdt=-kv∫dvv=-∫kdtlnv=-kt+c

Q: Suppose that a particle moves along a straight line with velocity define by v(t) = t 2 – 3t – 18,…

Q: Prove that u =(x^k) is an integrating factor of Mdx + Ndy = 0 if the difference of the partial…

A: Equation: Mdx + Ndy = 0 Difference of the partial derivative of M with respect to y and the partial…

Q: Position vector of a particle is given as r(t) = 2t² i + 5tj - 3k in meters where t is in seconds.…

Q: A Force acting on a Particle varies with X as shown in fig. below, Calculate the work done by the…

A: Given: Force acting on a particle varies with X as shown in fig. below. To find: work done by the…

Q: The three components are as follows: u = 2xt– 3xyz + 6z v = x– yz + 4xyt w = 3x– 5yzt + yz Find…

Q: Q11 A ball-bearing is dropped in oil and travels downwards with an initial velocity of 10 ms The…

Q: The displacement of a machine is expressed as x(t) = A sin(6t + Φ), where x is in meters and t is in…

A: As per given question displacement of a machine is expressed x(t) = A sin(6t +Φ) We have to…

Q: The three components are as follows: u = 2xt– 3xyz + 6z v = x– yz + 4xyt w = 3x– 5yzt + yz Find the…

A: Let V is the resulatant velocity at any point in a fluid flow. let u,v and w are its components in…

Q: The displacement of a machine is expressed as x(t) = A sin(6t + 0), where x is in meters and t is in…

A: Given: Displacement of machine x(t)=A sin(6t+ϕ) Displacement of machine at t=0 is 0.05m Velocity of…

Q: h SG

A: To derive the expression for velocity for the above drawing.Given the acceleration due to gravity…

Q: (b) A particle moves with a velocity of V- 35 t - 221 t +120 Find the distance travelled after 10 s.

Q: The displacement of a machine is expressed as x(t) = A sin(6t + 0), where x is in meters and t is in…

Q: A Javelin is thrown at 20 m/s at an angle of 20 degrees to hit a marker on the ground. What is the…

Q: Velocity of a particle is given by v = -4t+ 20 m/s where t is in seconds. What is its acceleration…

A: Given: The velocity profile, v = -4t+20 m/s The time, t = 10 s

Q: A particle A is accelerate from X=0 with zero initial velocity at a=0.8Vv2 + 49 , where a, v in m/s?…

Q: A parachutist has a terminal velocity of -176 feet per second. That is, no matter how long a person…

A: Velocity at which the parachutist is falling is given by the D.E v'(t)= = 32-k.v(t) And the terimnal…

Q: If a soccer ball is shot at 20 degrees up from the horizontal with a speed of 40 m/s, what is its…

A: The initial horizontal velocity is: The initial vertical velocity is:

Q: A motorcycle travels along a straight line with a velocity [ v = ( 2t² – 8 ) m/s ], where ( t ) is…

A: Given data:

Q: The three components are as follows: u = 2xt– 3xyz + 6z v = x– yz + 4xyt w = 3x– 5yzt + yz Find…

Q: A cylindrical tank contains three liquids of specific gravities: 0.80, 1.00, and 1.50. Each liquid…

A: As per given question Specifi gravity of there liquid 0.80 1.00 1.50 Liquid thicknesses 0.60 Tank…

Q: A police car is traveling north on a straight road at a constant20.0 m>s. An SUV traveling north…

A: Given data: The speed of the police car is v=20 m/s The speed of the SUV is u=30 m/s The…

Q: If the fly walks away from the origin in the direction of u = i − 7j, the temperature it measures…

Q: Determine the constant rate of intlow.

A: Given: Brine solution: Total solution=100 li t=0 ,64 N salt t=50 min, 16 N salt To determine: Amount…

Concept explainers

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.

Question

100%

s v(t) = {0.8t²i + 12t¹/²j+5k} m/s.
The velocity of a particle is defined as

Part A
Determine the magnitude of the particle's acceleration when t = 3 s.
Express your answer to three significant figures and include the appropriate units.
a = Value
Submit
Part B
α =
Submit
Part C
Determine the coordinate direction angle a of the particle's acceleration when t = 3 s.
Express your answer using three significant figures.
IVE ΑΣΦ | 11 Ivec
B =
Submit
μA
Part D
Request Answer
y =
Determine the coordinate direction angle 3 of the particle's acceleration when t = 3 s.
Express your answer using three significant figures.
15. ΑΣΦ | 11 | vec
Submit
Request Answer
Units
Request Answer
2) ?
Request Answer
?
Determine the coordinate direction angle y of the particle's acceleration when t = 3 s.
Express your answer using three significant figures.
15. ΑΣΦ | 11 | vec
[]?
O
?

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

The equation of a wave in the international system SI, which propagates by a string is given by the expression: y(x,t)=0,08cos[2π(2x-4t)] Determine the velocity values at a point 2m from the source at the instant t=5s.
An open tank is filled with a liquid which is flowing out trough a spigot located at the distance h below the surface of the liquid. What is the velocity of the liquid leaving the tank? * O v= 2 Vgh O v= 2gh O v= 4gh v= pgh O v= v2gh
F = (C · t²) Q14. As shown in the image below, the force acting on the box is N, where constant C = 10 and t is time in s. Determine the magnitude of the total impulse (in N.s) done by force F to the box during the period from t = 0 to t = 1.5 s. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. F Your Answer: Answer 3 5 4
The mean velocity of fluid flow changes with respect to time at any point is Steady flow O Uniform flow O Non-uniform flow O Unsteady flow
A police car is traveling north on a straight road at a constant20.0 m>s. An SUV traveling north at 30.0 m>s passes the police car. Thedriver of the SUV suspects he may be exceeding the speed limit, sojust as he passes the police car he lets the SUV slow down at a constant1.80 m>s2. How much time elapses from when the SUV passes the police car to when the police car passes the SUV?
Draw the v-t and s-t graphs if v = 0, s = 0 when 1=0, a (m/s?) (s) -2 2.
Determine the work of the force F = (6s² ), where s is the displacement in meter, of the figure shown below. 2 m F = (6 s²) N A 48 J В 12J c) 24 J (D 16J
a race car starts from rest and accelerates at a = 5 + 2t m/s^2 for 10 seconds. To break are then applied and the car has constant acceleration of a= 30 m/s^2 until it comes to rest. Determine the maximum velocity
2/2 The displacement of a particle is given by s = 30t2 + 100t – 50, where s is in feet and t is in seconds. Plot the displacement, velocity, and acceleration as 213 – - functions of time for the first 12 seconds of motion. Determine the time at which the velocity is zero.
a particle travels along a straight line with a velocity v=(12-3t^2) m/s, where t is in seconds. when t=1s, the particle is located 10m to the left of the origin. A) Determine the displacement, in meters, from t=0 to t=10s B) determine the acceleration, in m/s^2, when t=4s C) Determine the distance the particle travels, in meters, from t=0 to t=10s
The velocity of a particle traveling in a straight line is given by v = (6t – 3t2) m/s, where t is in seconds. Suppose thats = 0 when t = 0 Part B Determine the particle's position when t = 3.7 s Express your answer to three significant figures and include the appropriate units. s = -9.58 m Submit Previous Answers Correct 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. µA ? ST = 9.58 m Submit Previous Answers Request Answer