1. A particle is accelerated from stand still at an acceleration rate of: a(t) = 5t [m/s*] (a) What is the velocity function of the particle? (b) At what time does the velocity becomes 50 m/s? (c) What is the displacement function of the particle? (d) How far will the particke have travelled when the velocity is 50 m/s!

Q: Water is discharged from a pipeline at a velocity v given by the function v = 1392 p 1/2 , where p…

A:

Q: (b) Suppose the raindrop accretes mass at rate dm/dt = bmv with b > 0. i) Show that the speed of the…

A: Given the equation of motion of mass accretion is mdvdt+vdmdt=F. (b) It is given that the rain drop…

Q: e acceleration function (in m/s?) and the initial velocity v(0) are given for a particle moving…

A:

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

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: 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: 2.[15] The acceleration of an object is given by the equation a = t + 4 (m/s²). The object has an…

A:

Q: Let H(t) be the cost of heating a building in dollars per hour when the outside temperature is t…

A: Given that Ht be the cost of heating a building in dollars per hour when the outside temperature is…

Q: You throw a ball of mass 1 kilogram upward from a height of 0 meters with a velocity of a = 23 m/s…

A: Explained below