14) A diver springs from the edge of a cliff 24 fi above the ocean with an initial upward velocity of 8 l's How high is the diver 0.5 scconds after he jumps The approximate height of the diver, with respect to time. is modeled by the funcion htt--16 8t 24. A) 25 see C) 24 1 B) 32 ft D) 28 f

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 the elevation z above a point (x, y) in a horizontal xy- plane at sea level is z = 5cos…

A: Given that z= 5cos(0.01(x2+y2)) meters.

Q: PIND F'): b. FG)- 4- ax*)

A: Given: f(x) = 4-3x25 To find: f'(x)

Q: 1 br sCE) = 20 the lomit velocity of the

A: The position of a particle is st=203t+2, where s is in meters and t is in seconds. It is known that…

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: A bullet is fired from the ground at an angle of 60◦ above the horizontal.What initial speed v0 must…

A: given: A bullet is fired from the ground at an angle of 60◦ above the horizontal. What initial speed…

Q: - truck driving along a freeway with traffic has travelled s(t) 3 +6t+7 meters in t %3D econds. If…

A:

Q: 5. A ladder of length 4v3 metres is resting on a wall. The wall makes a 60-degree angle with the…

A:

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

A:

Q: A kite is 30 meters above the ground and is moving in a path away from the control reel parallel to…

A: Draw the diagram by using the given information. By using the Pythagorean theorem, x2+y2=z2…

Q: Suppose a rock is dropped into a well 4.9 meters deep.a) Determine the amount of time t it takes for…

A: It is given that a piece of rock is dropped into a well which is 4.9 meters deep.

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: The table below shows the velocity of an object (cm/sec) at each sec as it moves along a track for…

A:

Q: b) An asphalt roller with a radius, r of 0.7 metres and length, 1 of 2 metres, completes 3…

A:

Q: The function... gives the height above the ground of a ball thrown upwards. The time t is in seconds…

A:

Q: 1. A particle starts from rest and has an acceleration function, a(t) = 9-24t m/s?. a) What is the…

A: Velocity

Q: A ball is launched from ground level at 30 m/s at an angle of 35˚ above the horizontal.    (a) Find…

A: The vertical and horizontal components of velocity are given by vy = vsinθ and vx = vcosθ and…

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.