1.)  Let s(t)= tlnt-t be the displacement of a particle (in feet) from the origin after t seconds.   a.) Find the velocity of the particle at 5 seconds. (Show all your work and include units)   b.) Find the acceleration of the particle after 5 seconds. (Show all your work and include units)

Q: 65. A varsity soccer player kicks a soccer ball approximately straight upward with an initial…

A: a) Given that, s=-12gt2+v0t+s0         ...(1) g=32 ft/sec2v0=60 ft/secs0=2 ft Substitute the value…

Q: EX-3- A particle moves along a straight line so that after t (seconds) , its distance from O a fixed…

A: BY THE RULES SINCE YOU HAVE NOT MENTIONED WHICH PART. I CAN DO ONLY FIRST THREE PARTS.   Velocity is…

Q: Suppose an object is moving along a line such that the acceleration after t seconds is 6t -8t…

A:

Q: t and capable of creatir econds and a is in ft/s2 = motion at 32 f/2. N

A: 2. The acceleration of the rocket is, anet=10t-32 Calculate the velocity of the rocket from the…

Q: A sodium ion (Na+) moves in the xy-plane with a speed of 2.90 ✕ 103 m/s. If a constant magnetic…

A:

Q: A particle moves according to the law of motion s(t) = t3 - 7t2 + 5t, t≥ 0, where t is measured in…

A: Given that a particle moves according to the law of motion                     s(t)=t3-7t2+5t, t≥0.…

Q: The table below gives the velocity v of a moving particle at timet seconds. t02 4 6 8 10 12 4 6 16…

A:

Q: A stone is tossed into the air from ground level with an initial velocity of 30 m/s. Its height at…

A: Please see the attachment

Q: 7. An observer stands 200 meter from the launch site of a hot-air balloon. The balloon rises…

A:

Q: 1 mdv dt 10 dv dt = mg-bv; v(0) = v = (10) (9.81)-50 v

A: mdvdt=mg-bv, v0=v10dvdt=109.81-50v, v0=0

Q: A train moves along a track at velocity v. Bionica walks down the aisleof the train with velocity u…

A:

Q: Gue, tion; In two dimentiona frow, reom turetion find the velocity potentiol P. Y2ー Jocnmmic

A: We know that complex potential: w=ϕ+iψ is analytic so:  ∂ϕ∂x=∂ψ∂y and ∂ϕ∂y=-∂ψ∂x.

Q: spaceship moving away from a planet runs out of fuel. The moment it runs out of fuel, the ship…

A:

Q: please answer the same way above the former one. a) What is the velocity of the particle at t = 2.8…

A: Answer of (a) as follows :

Q: Find the work done by a force of 14i (newtons) in moving as object along a line from the origin to…

A: Work done is given by the product of Force and displacement. That is: W=F×dwhere F is force and d is…

Q: A comet passing by a star, with initial velocity (30, 60), experiences a force which causes it to…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.