The velocity , Vm/s, of the particles projected into space is given by the formula: V = 5t² - 2t² + 9 where t is...

The velocity , Vm/s, of the particles projected into space is given by the formula: V = 5t² - 2t² + 9 where t is time in seconds
elapsed since projection,
Determine
a) The acceleration of the particle when t = 4
b) The value of t which minimises the acceleration.
c) The velocity of the particle when acceleration is minimum
d) The total distance moved by the particle between t = 1 to t = 4 seconds.

---

---

sharon kalunda answered the question on May 9, 2019 at 13:00

Exams With Marking Schemes

• Grade 1
• Grade 2
• Grade 3
• Grade 4
• Grade 5
• Grade 6
• Grade 7
• Grade 8
• Grade 9
• PP1
• PP2
• Playgroup
• Form 1
• Form 2
• Form 3
• Form 4

Related Questions

---

• Use a ruler and a pair of compass only in the constructions below: (Solved)
  

  Use a ruler and a pair of compass only in the constructions below:
  a) Construct a triangle ABC such that AB = 4cm, BC = 5cm and angle ABC = 120°, measure AC.
  b) On the same diagram
  i) locate P the locus of a point equidistance from the three vertices of the triangle ABC and demonstrate this using a circle.
  Measure the radius of the circle.
  ii) On the same side of BC as A, construct Q the locus of points such that angle BQC = 120°.
  iii) On the side of AC opposite point B construct R the locus of points 4cm from line AC.
  iv) Within the circle shade the set of points such that Angle BQC ≥ 120°

  Date posted: May 9, 2019 .    Answers (1)

• After how many years would Kshs 15,000 amount to Kshs 24,015.50 at a rate of 16% p.a. compounded quarterly? (Solved)
  

  After how many years would Kshs 15,000 amount to Kshs 24,015.50 at a rate of 16% p.a. compounded quarterly?

  Date posted: May 9, 2019 .    Answers (1)

• Given that the dimensions of a rectangle are 12.0cm and 25.0cm. Find the percentage error in calculating the area. (Solved)
  

  Given that the dimensions of a rectangle are 12.0cm and 25.0cm. Find the percentage error in calculating the area.

  Date posted: May 9, 2019 .    Answers (1)

• In the figure below QT is a tangent to a circle at Q. PXRT and QXS are straight lines. PX =6cm, RT=8cm, QX=4.8cm and XS... (Solved)
  

  In the figure below QT is a tangent to a circle at Q. PXRT and QXS are straight lines. PX =6cm, RT=8cm, QX=4.8cm and XS =
  5cm.
  
  Find the length of :
  a) XR
  b) QT

  Date posted: May 9, 2019 .    Answers (1)

• Two types of tea which cost Kshs 200 per kg and Kshs 250 per kg are mixed so that their weights are in the ratio... (Solved)
  

  Two types of tea which cost Kshs 200 per kg and Kshs 250 per kg are mixed so that their weights are in the ratio 5 : 3
  respectively. Calculate the cost of 20kg of the mixture.

  Date posted: May 9, 2019 .    Answers (1)

• Make x the subject of the formula. (Solved)
  

  Make x the subject of the formula.
  

  Date posted: May 9, 2019 .    Answers (1)

• Use logarithm table to evaluate to 4 decimal places. (Solved)
  

  Use logarithm table to evaluate to 4 decimal places.
  

  Date posted: May 9, 2019 .    Answers (1)

• A right conical frustum of base radius 7cm, top radius 4cm and height 5cm is stuck onto a cylinder or base radius 7 cm and height... (Solved)
  

  A right conical frustum of base radius 7cm, top radius 4cm and height 5cm is stuck onto a cylinder or base radius 7 cm and
  height 6 cm and further attached to the hemisphere to form a closed solid as shown below. (Take pi = 22/7)
  
  a) Find the volume of the solid.
  b) Given that the mass or the solid is 2430g find its density.

  Date posted: May 9, 2019 .    Answers (1)

• Three towns X, Y and Z are such that X is on a bearing of 120° and 20 km from Y. Town Z is on... (Solved)
  

  Three towns X, Y and Z are such that X is on a bearing of 120° and 20 km from Y. Town Z is on a bearing of 220o and 12km
  from X.
  a) Using a scale of 1cm to represent 2km, show the relative position of the places.
  b) Find;
  i) The distance between Y and Z
  ii) The bearing of X from Z
  iii) The bearing of Z from Y.
  iv) The area of the figure bounded by XYZ.

  Date posted: May 9, 2019 .    Answers (1)

• A bus left Kisumu for Nairobi at an average speed of 60km/hr. After 1½ hours another car left Kisumu for Nairobi along the same route at... (Solved)
  

  A bus left Kisumu for Nairobi at an average speed of 60km/hr. After 1½ hours another car left Kisumu for Nairobi along the
  same route at an average speed of 100km/hr. If the distance between Kisumu and Nairobi is 500km, determine:
  a) i) The distance of the bus from Nairobi when the car took off.
  ii) The distance the car travelled to catch up with the bus.
  b) Immediately the car caught up with the bus, the car stopped for 25 minutes. Find the new average speed of which the car
  travelled in order to reach Nairobi at the same time at the bus. (to the nearest whole number).

  Date posted: May 9, 2019 .    Answers (1)

• A bus travelling at a an average speed of 63km/h, left the station at 8 : 15am. A car left the same station at 9:00... (Solved)
  

  A bus travelling at a an average speed of 63km/h, left the station at 8 : 15am. A car left the same station at 9:00 am and
  caught up with the bus at 10:45. Find the average speed of the car.

  Date posted: May 9, 2019 .    Answers (1)

• In the figure below angle EHF =angle EFH = 90°. HF = 5cm and EF = 12cm. Calculate the length of FG leaving your answer... (Solved)
  

  In the figure below angle EHF =angle EFH = 90°. HF = 5cm and EF = 12cm. Calculate the length of FG leaving your answer as a mixed
  fraction.
  

  Date posted: May 9, 2019 .    Answers (1)

• Use reciprocals, cubes and square root tables to evaluate. (Solved)
  

  Use reciprocals, cubes and square root tables to evaluate.
  

  Date posted: May 9, 2019 .    Answers (1)

• a) Using the line given below construct the locus of a point P one side such that angle APB = 60° (Solved)
  

  a) Using the line given below construct the locus of a point P one side such that angle APB = 60°
  
  b) On the same diagram locate the position of point C on the Locus of P and is equidistance from A and B.

  Date posted: May 9, 2019 .    Answers (1)

• Find the integral values that satisfy the inequality. 2x + 3 = 5x - 3 > - 8 (Solved)
  

  Find the integral values that satisfy the inequality.
  2x + 3 ≥ 5x - 3 > - 8

  Date posted: May 9, 2019 .    Answers (1)

• Two places P and Q are on the parallel of latitude 26°N. The two points lie on 10°W and 30°E longitudes respectively. (Solved)
  

  Two places P and Q are on the parallel of latitude 26°N. The two points lie on 10°W and 30°E longitudes respectively.
  (a) Find the distance between P and Q along their parallel of latitude in
  (i) km (Taking R = 6370km and pi = 3.142)
  (ii) nm
  (b) Find in km the distance between points P and Q along a great circle.
  (c) Two planes X and Y left P for Q at an average speed of 1200 knots and 5000 knots respectively. If X flew along the
  great circle and Y along the parallel of latitude, which one arrived earlier and by how much time?

  Date posted: May 9, 2019 .    Answers (1)

• The diagram below shows two intersecting circles with centres X and Y. HG is a tangent to the circle centre X at C. (Solved)
  

  The diagram below shows two intersecting circles with centres X and Y. HG is a tangent to the circle centre X at C.
  
  (a) Determine:
  (i) Angle DXE
  (ii) Length DE
  (b) Hence, calculate the area of the shaded region.

  Date posted: May 9, 2019 .    Answers (1)

• Given that OA = 3i + 2j - 4k and OB = 4i + 5j - 2k. P divides AB externally in the ratio 3:... (Solved)
  

  Given that OA = 3i + 2j - 4k and OB = 4i + 5j - 2k. P divides AB externally in the ratio 3: -2. Determine the position
  vector of P in terms of i, j and k.

  Date posted: May 9, 2019 .    Answers (1)

• P and Q are the points on the ends of the diameter of the circle below. (Solved)
  

  P and Q are the points on the ends of the diameter of the circle below.
  
  (a) Write down in terms of x and y the equation of the circle in the form;
  ax² + by² + x + y + c = 0
  (b) Find the equation of the tangent at Q in the form ax + by + c = 0.

  Date posted: May 9, 2019 .    Answers (1)

• (a) Given matrices P and Q below,Find PQ. (Solved)
  

  (a) Given matrices P and Q below,Find PQ.
  
  (b) Hence, find the point of intersection of the lines 4x + y = 9 and 3y =2x -1

  Date posted: May 9, 2019 .    Answers (1)