The position at time t is greater than or equal to 0 of a particle moving along a coordinate line is given by s(t)=t^3+(3/2)t^2-6t a) Calculate the velocity and acceleration at time t b) Find the acceleration at each time the velocity is 0 c) When is the particle moving forward? When is it moving backwards?

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: An object is moving horizontally along a straight line. Its position, in metres, after t seconds is…

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

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Q: 1.)  Let s(t)= tlnt-t be the displacement of a particle (in feet) from the origin after t seconds.…

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Q: Suppose that a particle moves according to the law of motion st² 12t+24, (A) Find the velocity at…

A: Since multiple subparts are asked, I am answering the first 3 subparts.

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: 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: Number 6

A: 6The velocity of a car is given by : v(t)=t2+2t here, v(t) is measured in ft/sec and t is measured…

Q: 9 The acceleration of a lift in a tall building is ½(t – 5) m/s² at time t seconds. At time t = 0,…

A: We have to find the number of floor at which the lift stops.

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

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Q: A baseball player stands 5 meters from home plate and watches a pitch fly by. In the diagram, x is…

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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.