What is velocity of the particle when it is above the ground

Assignment Help Mathematics

Reference no: EM131012399

Suppose r^→(t) = cos t_i^→ + sin t_j^→ + 3t_k^→ represents the position of a particle on a helix, where z is the height of the particle above the ground.

a. Is the particle ever moving downward? When? (If the particle is never moving downward, enter DNE.)

b. When does the particle reach a point 18 units above the ground?

c. What is the velocity of the particle when it is 18 units above the ground? (Round each component to three decimal places.)

d. When it is 18 units above the ground, the particle leaves the helix and moves along the tangent line. Find parametric equations for this tangent line. (Round each component to three decimal places.)

Reference no: EM131012399

Questions Cloud

What is the firms current tax-shelter from interest : A firm, about to be founded by a couple of pension funds, will have a 50% debt and 50%-equity capital structure. The firm expects to invest $1,200. It then expects to have operating income of $120 the following year, of which $40 will be paid out as ..

Draw the s.f.d and b.m d with peak values : Write the equations for shear and moment between support A and B (Selection the origin at A) and Draw the S . F .D) and B.M D with peak values indicated in the diagrams.

Additions to retained earnings-dividends per share : For the most recent year, Seether, Inc., had sales of $437,000, cost of goods sold of $219,400, depreciation expense of $59,100, and additions to retained earnings of $51,300. The firm currently has 22,000 shares of common stock outstanding, and the ..

How old is this child most likely : A child answered that Heinz should have used a credit card if he did not have money to purchase the medicine for his wife. How old is this child most likely

What is velocity of the particle when it is above the ground : When does the particle reach a point 18 units above the ground? What is the velocity of the particle when it is 18 units above the ground?

What is the present value of the bonds all coupon payments : Jane just purchased bonds with a $1,000,000 total par value and a coupon rate of 5%. If the bond has a maturity of 10 years, pays semi-annual coupons, and the current yield to maturity is 6%, what is the current market value of the bonds? What is the..

Proposed cost-saving device has an installed cost : A proposed cost-saving device has an installed cost of $820,000. The device will be used in a five-year project but is classified as three-year MACRS property for tax purposes.

How much was each semi-annual withdrawal in year : Parents deposit $6,000 into a savings account at the end of each year for 22 years to help their child pay for college. The savings account pays 6% interest per year, compounded monthly. The child withdrawals an equal sum twice per year while in coll..

Conduct research on different types of errors : Conduct research on different types of errors that might occur in Excel and how to prevent/correct them - conduct research on the Internet on how to clear a conditional format from a worksheet cell.

User Account

All Pages