Write an expression for the speed of particle at any time

Reference no: EM13192325

Let v(t)=3t^2-12t be the velocity of a particle moving along the x-axis for time t, t>(less than or equal to)0 When t=0 the particle is at x=-6

(a)Determine the position of the particle at t=a
(b)Write an expression for the speed of the particle at any time t
(c)In which direction does the particle begin moving and when does it turn around?
(d)When, if ever, is the particle at the origin?

Reference no: EM13192325

Questions Cloud

Calculate the break-even level of sales : Calculate the break-even level of sales, assuming: $1.4 million fixed costs, $400,000 depreciation expense, variable costs-to-sales ratio of 65%.

What were the dimensions of the original piece of metal : A rectangular piece of metal is 10 cm longer than it is wide. Squares with sides 2 cm long are cut from the four corners of the piece of metal, and the flaps are folded upward to form an open box. If the volume of the box is 832 cm3, what were the..

Decryption speed and diffie-hellman : Increase of a single bit in the size of the encryption key doubles the amount of needed computations - Show how the recipient of the message, who knows e, produces the plaintext.

What is the economic profit that all firms earn : In what condition will a perfectly competitive firm that incurs economic losses choose to produce rather than shut down in the short run? Why will the firm do so (c) Should a firm produce at an output level at which long-run average cost is minimiz..

Write an expression for the speed of particle at any time : Let v(t)=3t^2-12t be the velocity of a particle moving along the x-axis for time t, t>(less than or equal to)0 When t=0 the particle is at x=-6.

Define how many proteins must be transported to synthesize : As protons transported into cell, ATP synthesis can be coupled to this process by ATP synthase. At 100% efficiency, under conditions above, how many proteins must be transported to synthesize one molecule of ATP?

Plot the residuals versus the fitted values : test each of the individual coefficients to see if they are significant. make a plot of the residuals and comment on whether they appear to follow a normal distribution. Plot the residuals versus the fitted values. do they seem to have the same am..

Define pesticide concentrations in the rhine river : Pesticide concentrations in the Rhine River between Germany and Grancn between 1969 and 1975 averaged 0.55 mg/L of C6Cl6, 0.06 mg/L of C12H8Cl60 and 1.02 mg/L of C6H6Cl6.

Find the work done in moving an object through the force : find the work done in moving an object through the force field F=xi+y^1/2j along the curve y=x^3/2 from (0,0) to (4,8)

User Account

All Pages