(9) (a) In this question use a(t) = -32 feet / sec? as the acceleration due to gravity. S(1) =gt gt² +vot +So g =-32, v, = initial velocity, so = initial height %3D %3D A ball is thrown vertically upward from a height of 6 feet with an initial velocity of 60 feet per second. How high will the ball go?

Q: line with a constant acceleration of -8 ms 2. A De in the direction that the particle is initially…

A:

Q: The boat is moving at 10m/s when its engine is shut down. Due to the hydrodynamic drag, its…

A: The given information are: When t=0, then v0=10 m/s and a=-0.05v2 . The information that needs to be…

Q: An object with an initial velocity of – 85 m/s undergoes an acceleration of a(t) = 6t + 18 m/s“, t…

A: Given, v=-85 at t=0. a=6t+18

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

A:

Q: (6) A ball is thrown upward in the air with motion s(t) = 40t - 4.9t². How high does the ball go?

A:

Q: A squirrel is running along a straight wire. Its position (in inches) after t seconds is given by…

A:

Q: (3) The distance of a particle from a point O at time t seconds is given by s = 2t³ - 27t² + 108t -…

A: Given : s=2t3-27t2+108t-84   ,   t≥0 To find : (a) velocity (b) Acceleration (c) Time when velocity…

Q: A 69-kg base runner begins his slide into second base when he is moving at a speed of 4.6 m/s. The…

A: given speed u=4.6 m/s coefficient of friction μ=0.70 a) How much mechanical energy is lost due to…

Q: An object is moving with the velocity v(t) = 5/ sqrt of t  cm/sec. At time t = 4 sec, its position…

A: As we know

Q: 11. AN OBJECT IS TOSSED VERTICALLY UPWARD WITH A VELOCITY OF 128 ft/sec AND REACHES A НEIGHT OF s(t)…

A: s(t) = -16t2+128tv(t) = ddts(t)v(t) = -16×2×t+128v(t) = -32t +128

Q: If a ball is thrown straight up 6 feet from the ground with an initial velocity of 90 ft/sec, the…

A:

Q: The velocity (in m/s) of a hopping bunny is shown in the graph below. Describe, in words, the motion…

A: Given a velocity vs time graph of a bunny. We need to find some questions. Let's begin.

Q: Kathryn is observing a 19-ft ladder leaning against a building. The first time she notices the…

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Q: (b) A new bullet test for bullet proof jacket has detected a motion equation as follows: s(t) =…

A:

Q: At time t20, the acceleration of a particle moving on the x-axis is a(t)=t+sint. At t = 0, the…

A: To find the value of t , when velocity is equal to zero , Given that : a(t) = t + Sin(t) 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.