Hw.1 1. With a starting velocity of 60 m/s, a tiny projectile is launched vertically downward into a fluid medium. The projectile decelerates by a = (-0.4v) m/s? due to the fluid's drag resistance, where v is measured in m/s. Calculate the projectile's velocity and position 4 s after it is fired. 2. Starting from rest, a particle moving in a straight line has an acceleration of a = (2t - 6) m>s2, where t is in seconds. What is the particle's velocity when t = 6 s, and what is its position when t = 11 s? %3D

Hw.1 1. With a starting velocity of 60 m/s, a tiny projectile is launched vertically downward into a fluid medium. The projectile decelerates by a = (-0.4v) m/s? due to the fluid's drag resistance, where v is measured in m/s. Calculate the projectile's velocity and position 4 s after it is fired. 2. Starting from rest, a particle moving in a straight line has an acceleration of a = (2t - 6) m>s2, where t is in seconds. What is the particle's velocity when t = 6 s, and what is its position when t = 11 s? %3D

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

Similar questions

When rowing downstream consider the following scenario. The current of the water is moving at 2 m/s in the direction you are rowing. The coefficient of drag between your boat and the water is 1.2, the area in contact with the water is 0.1 m2 and the density of the water is 1000 kg/m3. You are moving at a velocity of 4 m/s into a head wind of 4 m/s. Your coefficient of drag between you and the air is 1.4, the area in contact with the air is 0.4 m2 and the density of the air is 1.2 kg/m3. Your goal is to create a net force moving downstream that is equal to 100 N. How much force must you exert with the oar and in what direction to achieve this net force downstream?
A particle is projected from a horizontal plane and has an initial speed of 50m/s at an angle of 30 degrees above the horizontal. For how long is the particle at least 20 m above the level of the plane? Hint: You may use the formulas for the horizontal x(t) and vertical y(t) displacement of the particle: x(t) = ucos(α)t, y(t) - usin(α)t - ½gt2 , g = 10m/sec2.
A bullet is fired with muzzle veloity of 600 m/s. If the length of the barrel is 750 mm. What is the average acceleration?
A nozzle is formed so that its cross sectional area converges linearly along its length. the inside diameters are 200mm and 100 mm at inlet and exit and the length of the nozzle is 1m.What is the convective acceleration at a section halfway along the length of the nozzle if the discharge is constant at 0.12 ?3/s.
A steel wire connects two trains at rest on the same track. The wire will snapif it is stretched by as much as 1 percent. The trains begin to accelerate in such away that their velocities, as measured in the ground frame, are always equal.Eventually, the wire snaps. Explain carefully why this happens. How fast are thetrains moving when the wire snaps?
13.73. A model of a motorboat is driven at 4.57 m/s by means of a jet of water 25 mm in diameter, ejected directly astern. The velocity of the jet relative to the model is 35.1 m/s. What is the driving force? Ans. 543 N
We investigated a jet landing on an aircraft carrier. In a later maneuver,the jet comes in for a landing on solid ground with a speed of 95 m/s, and itsacceleration can have a maximum magnitude of 6.37 m/s2 as it comes to rest.(a) From the instant the jet touches the runway, what is the minimum time intervalneeded before it can come to rest?(b) Can this jet land on a small tropical island airport where the runway is 0.800 kmlong? Show your work using a calculation.
An airplane whose normal speed in still air is 260 mi/hr must traveldue east. (a) What course must the aviator set for the plane when there is asteady southwest wind of 40 mijhr? (b) How long will it take to travel 850 mi?
11- When a jet strikes an inclined fixed plate, as shown, it breaks into two jets at 1 and 2 of equal velocity V but unequal areas. The reason is that for frictionless flow the fluid can exert no tangential force Ft on the plate. The condition Ft=0 enables us to solve for Ft=0. Perform this analysis, and find the ratio Q1/Q2.
A propeller aircraft can fly at airspeed of 300mph. If wind is blowing towards the cast at 50mph, what should be the aircraft's heading in order for its true course to be 30°? What will be the speed of the aircraft relative to the ground?
A particle, originally at rest and located at point (3 ft, 2 ft, 5 ft), is subjected to an acceleration a={6ti+12t2k}ft/s2 .
A team of jubliant engineering students, celebrating winning a designcompetition, fires their potato gun straight up into the air. (a) Assuming a quadratic airdrag on the potato with magnitude F (v) = mkv^2, and taking +y to be the upward direction,show that the potato speed varies with height above the ground according to the equations: