A ball is thrown upwards from the top of a cliff h metres above sea level with acceleration of -9.8m/s² and an initial velocity of...

A ball is thrown upwards from the top of a cliff h metres above sea level with acceleration of -9.8m/s² and an initial velocity of 9.8m/s
i) Write down an expression for the height h of the ball above sea level if the height of the cliff is 100m.
ii) Calculate the greatest height reached by the ball above sea level.

---

---

Kavungya answered the question on September 19, 2019 at 10:08

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

---

• The table below shows the rate of taxation in a certain year. Income in K£ p.a Rate of taxation shs per K£ 1 – 3900 2 3901 – 7800 3 7801... (Solved)
  

  The table below shows the rate of taxation in a certain year.
  Income in K£ p.a Rate of taxation shs per K£
  1 – 3900 2
  3901 – 7800 3
  7801 - 11700 4
  11701 – 15600 5
  15601 – 19500 7
  Above 19500 9
  In that period Mrs. Kalii earns a basic salary of kshs22,000 and is entitled to a house allowance of ksh10,000 per month. If she gets a personal relief of sh.1056 per month.
  a)Calculate how much income tax she paid per month.
  b)Mrs. Kalii’s other deductions per month were;
  -Co-operative society contributions of Ksh.2,000
  -Loan repayment kshs.2260
  -Provident fund deducted through check off system at 2% of his basic salary.
  Calculate his net monthly pay.

  Date posted: September 19, 2019 .    Answers (1)

• Given that xo is an angle in the first quadrant such that 8sin²x + 2Cos x – 5 = 0, find tan x. (Solved)
  

  Given that xo is an angle in the first quadrant such that 8sin²x + 2Cos x – 5 = 0, find tan x.

  Date posted: September 19, 2019 .    Answers (1)

• Without using tables or a calculator, find the value of (Solved)
  

  Without using tables or a calculator, find the value of

  Date posted: September 19, 2019 .    Answers (1)

• Use the trapezium rule to estimate the area under the curve y = x² + x – 6 over the interval 0 = x =... (Solved)
  

  Use the trapezium rule to estimate the area under the curve y = x² + x – 6 over the interval 0 ≤ x ≤ 8 using 4 trapezia.

  Date posted: September 19, 2019 .    Answers (1)

• a)Expand (2 + x/4)⁵ upto the term in x³. b) Use your expansion to estimate the value of (1.975)⁵. Give your answer in 3 significant... (Solved)
  

  a)Expand (2 + x/4)⁵ upto the term in x³.
  b) Use your expansion to estimate the value of (1.975)⁵. Give your answer in 3 significant figures.

  Date posted: September 19, 2019 .    Answers (1)

• A industrialist has 450 litres of a chemical which is 70% pure. He mixes it with a chemical of the same type but 90% pure... (Solved)
  

  A industrialist has 450 litres of a chemical which is 70% pure. He mixes it with a chemical of the same type but 90% pure so as to obtain a mixture which is 75% pure. Find the amount of the 90% pure chemical used.

  Date posted: September 19, 2019 .    Answers (1)

• The sum of two numbers m and n is 7. The sum of m and the reciprocal of n is 3 ¼. Find the two... (Solved)
  

  The sum of two numbers m and n is 7. The sum of m and the reciprocal of n is 3 ¼. Find the two possible values of m and n.

  Date posted: September 19, 2019 .    Answers (1)

• Show that; (Solved)
  

  Show that;
  

  Date posted: September 19, 2019 .    Answers (1)

• Ruth deposited sh20,000 in a fixed deposit account for a period of 1½ years. The bank pays compound interest on quarterly basis. At the end... (Solved)
  

  Ruth deposited sh20,000 in a fixed deposit account for a period of 1½ years. The bank pays compound interest on quarterly basis. At the end of this period her account had shs46,200. Determine the rate at which interest was paid per annum.

  Date posted: September 19, 2019 .    Answers (1)

• The average of the first and fourth terms of a G.P is 140. Given that the first term is 64, find the common ratio. (Solved)
  

  The average of the first and fourth terms of a G.P is 140. Given that the first term is 64, find the common ratio.

  Date posted: September 19, 2019 .    Answers (1)

• Simplify (Solved)
  

  Simplify

  Date posted: September 19, 2019 .    Answers (1)

• Make A the subject of the formula given that (Solved)
  

  Make A the subject of the formula given that

  Date posted: September 19, 2019 .    Answers (1)

• Given that 1.5 = x = 3.8 and 2.4 = y = 5, determine the smallest and the greatest value of x – y and... (Solved)
  

  Given that 1.5 ≤ x ≤ 3.8 and 2.4 ≤ y ≤ 5, determine the smallest and the greatest value of x – y and hence the range of x – y.

  Date posted: September 19, 2019 .    Answers (1)

• A ball is kicked vertically upwards from a point 0.5m above the ground at a velocity of 16m/s. Assuming that acceleration due to gravity is... (Solved)
  

  A ball is kicked vertically upwards from a point 0.5m above the ground at a velocity of 16m/s. Assuming that acceleration due to gravity is 10m/s²
  Determine
  a)An expression for its velocity t seconds later
  b)An expression for its height above the ground t seconds later
  c)The maximum height reached by the ball
  

  Date posted: September 19, 2019 .    Answers (1)

• a)Using a ruler and a pair of compass only construct triangle ABC in which angle BAC = 120^o AB = 6.4cm and AC = 7.0cm (Solved)
  

  a)Using a ruler and a pair of compass only construct triangle ABC in which angle BAC = 120^o AB = 6.4cm and AC = 7.0cm
  Measure
  i) angle ABC
  ii) BC
  b) Construct the circumscribed circle of triangle ABC with O as its centre. Describe the circumscribed circle as a locus

  Date posted: September 19, 2019 .    Answers (1)

• A particle moving along a straight line covers a distance 5 metres in time t seconds from a fixed point O on the line where... (Solved)
  

  A particle moving along a straight line covers a distance 5 metres in time t seconds from a fixed point O on the line where s = t³ – 6t² + 8^t – 4
  Find
  a)The velocity of the particle when t = 5
  b)The acceleration when t = 5 seconds
  c)The time when the velocity of the particle is constant

  Date posted: September 19, 2019 .    Answers (1)

• Mukai travels from A to B at xkm/h. The two towns are 40km apart. She then travels to town C at (x + 6)km/h. Town... (Solved)
  

  Mukai travels from A to B at xkm/h. The two towns are 40km apart. She then travels to town C at (x + 6)km/h. Town B and C are 100km apart. If the time she takes from B to C is the same time from A to B, find the value of x

  Date posted: September 19, 2019 .    Answers (1)

• Simplify completely (Solved)
  

  Simplify completely
  

  Date posted: September 19, 2019 .    Answers (1)

• A two-digit number is made by combining any of the two digits 1, 3, 5, 7 and 9 at random. a)Make an array of possible combinations ... (Solved)
  

  A two-digit number is made by combining any of the two digits 1, 3, 5, 7 and 9 at random.
  a)Make an array of possible combinations
  
  b)Find the probability that the number formed is prime

  Date posted: September 19, 2019 .    Answers (1)

• Grade x and grade y sugar cost sh60 and sh50 per kilogram respectively. In what proportion must the two grades be mixed to produce a... (Solved)
  

  Grade x and grade y sugar cost sh60 and sh50 per kilogram respectively. In what proportion must the two grades be mixed to produce a blend that cost sh53 per kilogram

  Date posted: September 19, 2019 .    Answers (1)