Particle P moves in a straight line such that, t seconds after passing through a fixed point O its velocity V m/s given by the...

      

Particle P moves in a straight line such that, t seconds after passing through a fixed point O its velocity V m/s given by the equation V = 3t² -15t + 18.
Find
a) The values of t for which P is instantaneously at rest.
b) An expression in terms of t for the distance P from O after t seconds.
c) The total distance traveled by P in the first 4 seconds after passing point O.
d) The distance P from O when the acceleration of P is zero.

  

Answers

---

---

Kavungya answered the question on November 5, 2019 at 09:30

Next: The probability that our school will host soccer and rugby tournament this year is 0.8. If we host the probability of winning soccer is 0.7....
Previous: Evaluate without using a calculator

View More Mathematics Questions and Answers | Return to Questions Index

Learn High School English on YouTube

Related Questions

---

• The probability that our school will host soccer and rugby tournament this year is 0.8. If we host the probability of winning soccer is 0.7....(Solved)
  

  The probability that our school will host soccer and rugby tournament this year is 0.8. If we host the probability of winning soccer is 0.7. If we do not host the probability of winning soccer is 0.4. If we win soccer the probability of winning rugby is 0.8, otherwise if we lose the probability of winning rugby is 0.3.
  a) Draw a tree diagram to represent this information.
  b) Use the tree diagram to find:-
  i) The probability that we will lose both games.
  ii) The probability that we will win only one game.
  iii) The probability that we will host and lose both games.

  Date posted: November 5, 2019.  Answers (1)

• (a) Complete the table below for the equation y = x³ – 3x² – 9x + 2. b) On the grid provided draw the graph of...(Solved)
  

  (a) Complete the table below for the equation y = x³ – 3x² – 9x + 2.
  
  b) On the grid provided draw the graph of y = x³ – 3x² – 9x + 2 for -3 < x < 5.
  Use the scale: 1cm rep 1 unit on x – axis
  1cm rep 5 units on y – axis
  c) i) Use your graph to solve the equation
  x³ – 3x² – 9x + 2 = 0
  ii) By drawing a suitable straight line on the graph solve the equation.
  x³ – 3x² – 9x + 2 = -2x – 4

  Date posted: November 5, 2019.  Answers (1)

• The table below shows income tax rates a) Mr. Juma claiming tax relief of Ksh 1056 per month discovered that a total of Ksh 18500 is...(Solved)
  

  The table below shows income tax rates
  
  a) Mr. Juma claiming tax relief of Ksh 1056 per month discovered that a total of Ksh 18500 is deducted from his total earnings in form of income tax. Calculate Mr. Juma’s taxable income in Ksh per month.
  b) Mr. Juma other deductions include:
  5% of basic salary as cooperative shares
  2% of basic salary as WCPS
  Insurance policy Ksh 2800
  Co-operative shares Ksh 1500
  Given that his taxable allowances is Ksh 28400, calculate his net pay.

  Date posted: November 5, 2019.  Answers (1)

• Find the number of terms that will give a sum of 800 in the series. 2 + 6 + 10 + …….(Solved)
  

  Find the number of terms that will give a sum of 800 in the series.
  2 + 6 + 10 + …….

  Date posted: November 5, 2019.  Answers (1)

• The points A, B and C lies on a straight line. The position vectors of A and C are 2i + 3j + 9k and...(Solved)
  

  The points A, B and C lies on a straight line. The position vectors of A and C are 2i + 3j + 9k and 5i – 3j + 4k respectively. B divides AC internally in the ratio 2:1. Find the position vector of B.

  Date posted: November 5, 2019.  Answers (1)

• The table below represents a relationship between two variables x and y. a) On the grid provided draw the line of best fit. b) Use the...(Solved)
  

  The table below represents a relationship between two variables x and y.
  
  a) On the grid provided draw the line of best fit.
  b) Use the graph to find the value of y when x = 0

  Date posted: November 5, 2019.  Answers (1)

• Solve for x in the equation. (Solved)
  

  Solve for x in the equation.
  

  Date posted: November 5, 2019.  Answers (1)

• The mass in kilograms of 9 sheep in a pen were 13, 8, 16, 17, 19, 20, 15, 14 and 11. Determine the quartile deviation of...(Solved)
  

  The mass in kilograms of 9 sheep in a pen were 13, 8, 16, 17, 19, 20, 15, 14 and 11.
  Determine the quartile deviation of the data.

  Date posted: November 5, 2019.  Answers (1)

• Find the radius and centre of a circle whose equation is x² + 4x + y² – 8y + 11 = 0.(Solved)
  

  Find the radius and centre of a circle whose equation is x² + 4x + y² – 8y + 11 = 0.

  Date posted: November 5, 2019.  Answers (1)

• State the amplitude and the phase angle of the curve (Solved)
  

  State the amplitude and the phase angle of the curve

  Date posted: November 5, 2019.  Answers (1)

• A DVD player whose cash price is sh. 15000 is bought on hire purchase by paying a deposit of sh 3000 and 12 monthly installments...(Solved)
  

  A DVD player whose cash price is sh. 15000 is bought on hire purchase by paying a deposit of sh 3000 and 12 monthly installments of sh. 1250 each. Calculate the rate of interest per annum.

  Date posted: November 5, 2019.  Answers (1)

• a) Expand (1 -2x)⁴ b) Use the first four terms of your expansion to find the value of (0.99)⁴(Solved)
  

  a) Expand (1 -2x)⁴
  b) Use the first four terms of your expansion to find the value of (0.99)⁴

  Date posted: November 5, 2019.  Answers (1)

• The distance s metres of an object varies partly with time t seconds and partly with square root of time. Given that s = 16...(Solved)
  

  The distance s metres of an object varies partly with time t seconds and partly with square root of time. Given that s = 16 when t = 4 and s = 48 when t = 16. Write an equation connecting s and t.

  Date posted: November 5, 2019.  Answers (1)

• Construct rectangle ABCD in which AB = 4cm and BC = 3cm. Inside the rectangle construct the locus of point L₁ which is 3 cm...(Solved)
  

  Construct rectangle ABCD in which AB = 4cm and BC = 3cm. Inside the rectangle construct the locus of point L₁ which is 3 cm from A; Locus of L₂ which is equidistant from line AB and AD and locus of point L₃ which is 2cm from line AB.

  Date posted: November 5, 2019.  Answers (1)

• The dimensions of a rectangle are measured and given as 6.9 cm by 3.06 cm, Calculate to 4 s.f. the percentage error in the area.(Solved)
  

  The dimensions of a rectangle are measured and given as 6.9 cm by 3.06 cm,
  Calculate to 4 s.f. the percentage error in the area.

  Date posted: November 5, 2019.  Answers (1)

• The equation of a curve is given as y = x³ – 3x + 2. Determine a) the value of y when x = 2 b) the...(Solved)
  

  The equation of a curve is given as y = x³ – 3x + 2.
  Determine
  a) the value of y when x = 2
  b) the gradient of the curve at x = 3.
  c) the turning points of the curve and their nature.

  Date posted: November 5, 2019.  Answers (1)

• The table below gives some of the values of x and y for the function y = 1/2x² + 2x + 1 in the interval...(Solved)
  

  The table below gives some of the values of x and y for the function y = 1/2x² + 2x + 1 in the interval 0 ≤ x ≤ 6
  
  a) Use the values in the table to draw the graph of the function on the grid provided.
  b) i) Using the graph and the mid-ordinate rule with six (6) strips, estimate the area bounded by the
  curve, the x – axis, the y- axis and the line x = 6.
  ii) If the exact area of the region described in (b) (i) is 78cm²; calculate the percentage error
  made when the mid-ordinate rule is used.

  Date posted: November 5, 2019.  Answers (1)

• a) Given that the matrix find A^-1, the inverse of A. b) Kariuki bought 400 goats and 600 sheep for a total of Kshs 1.7m....(Solved)
  

  a) Given that the matrix find A^-1, the inverse of A.
  b) Kariuki bought 400 goats and 600 sheep for a total of Kshs 1.7m. Maina bought 180 goats and 240 sheep for a total of Kshs 720,000. If the price of a goat is sh. X and that of a sheep is shs y,
  i) Form two equations to represent the above information.
  ii) Use the matrix A^-1 to find the price of one goat and one sheep.
  c) John bought 450 goats and 720 sheep. He was given a total discount of shs 66,600.

  Date posted: November 5, 2019.  Answers (1)

• In the figure below OA = a, OB = b, OA : AE = 2 : 3 and OB : OC = 1 : 2 a)...(Solved)
  

  In the figure below OA = a, OB = b, OA : AE = 2 : 3 and OB : OC = 1 : 2
  
  a) Express AC and BE in terms of a and b
  i) AC
  ii) BE
  b) If DC = kAC and BD = mBE where k and m are scalars.
  By expressing DC in two ways, determine the values of k and m.
  c) Find the ratio of BD : DE

  Date posted: November 5, 2019.  Answers (1)

• A house is to be sold either on a cash basis or through a loan. The cash price is Kshs. 750,000. The loan conditions are...(Solved)
  

  A house is to be sold either on a cash basis or through a loan. The cash price is Kshs. 750,000. The loan conditions are as follows: there is to be a down payment of 10% of the cash price and the rest of the money to be paid through a loan of 10% per annum compound interest.
  A customer decided to buy the house through a loan.
  a) i) Calculate the amount of money loaned to the customer.
  ii) The customer paid the loan in 3 years.
  Calculate the total amount paid for the house.
  b) Find how long the customer would have taken to fully pay for the house if she paid a total of Kshs 891,750.

  Date posted: November 5, 2019.  Answers (1)