Recent questions tagged height

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Define gravitational potential energy
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Does the mass of the object affect the falling speed?
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How do we calculate the surface area of a cube?
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A sequence of isosceles triangles is drawn. The \(1^{\text {st }}\) triangle has a base length of \(2 \mathrm{~cm}\) and a height of \(2 \mathrm{~cm}\). The base of each ...
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How do you find the volume of a cube?
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What is the formula for the volume of a cone?
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What is the formula for the volume of a rectangular prism?
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What is the formula for the volume of a pyramid?
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What is the formula for the volume of a cylinder?
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An open rectangular box with square base is to be made from 48 sq. m of material. what is the largest possible volume of the box in cubic meters?
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Certain prescribed medicine that enters the human body is eventually eliminated by the body through urination. For an initial dose of \(30 \mathrm{mg}\), suppose that the...
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A rubber ball dropped from a height of \(20 \mathrm{~m}\) loses \(20 \%\) of its previous height on each rebound.(a) Calculate the height to which the ball will rise on t...
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A ball bounces \(\frac{1}{2}\) of its previous height on each bounce. Find the total distance covered by the ball, until it comes to rest, if it is dropped from a height ...
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Determine the volume of a rectangular prism with dimensions 4, 5, and 6.
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An airplane is flying at an altitude of 35,000 feet and a speed of 500 mph on a heading of 120 degrees. What is the ground speed and heading of the plane?
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Find the volume of a pyramid with a base of 10 cm by 15 cm and a height of 8 cm.
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The length and breadth of a rectangular prism are both \(4 \mathrm{~cm}\), and its volume is \(48 \mathrm{~cm}^3\). Determine the height of the prism.
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The volume of a cube is \(27 \mathrm{~cm}^3\). Determine the surface area of the cube.
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The volume of a rectangular tank is \(7000 \mathrm{~m}^3\), the length \(=25 \mathrm{~m}\) and the breadth \(=80 \mathrm{~m}\). Calculate the height.
852
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Twenty sheets of aluminum alloy were examined for surface flaws. The frequency of the number of sheets with a given number of flaws per sheet was as follows:\begin{equati...
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A stone is thrown horizontally with an initial speed of \(30 \mathrm{~m} / \mathrm{s}\) from a bridge. Find the stone's total speed when it enters the water 4 seconds lat...
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A ball is thrown from \(1 \mathrm{~m}\) above the ground. It is given an initial velocity of \(20 \mathrm{~m} / \mathrm{s}\) At an angle of 40 degrees above the horizonta...
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What would be the indication of an aircraft altimeter if the pilot fails to set QNH during descent, and therefore lives the instrument set to the standard pressure?a) Zer...
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At the end of 2012, nine skyscrapers in the world were over 300 meters tall. The ordered values of height are\[\begin{array}{lllllllll}366 & 381 & 442 & 452 & 484 & 492 &...
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A small missile is fired with a velocity of \(300 \mathrm{~m} / \mathrm{s}\) at an angle of 30 degrees.a.) Determine the initial horizontal and vertical velocity.b.) Dete...
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A ball is thrown from \(1 \mathrm{~m}\) above the ground. It is given an initial velocity of \(20 \mathrm{~m} / \mathrm{s}\)At an angle of 40 degrees above the horizontal...
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Calculate the volume of the cylinder.
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Find the maximum height above the \(x\)-axis of the cardioid \(r=1+\cos \theta\).
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A ball is thrown vertically upwards from a platform 12 feet above the ground so that after \(t\) seconds have elapsed the height \(s\) (in feet) of the ball above the gro...
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What are the various components of \(E=mc^2\)?
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A child weighing 50 Newtons is on a swing. He goes from a minimum height of 0.2 meters to a maximum height of 1.5 meters. His maximum speed is closest to:w) 3 meters per ...
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A 10 kilogram ball falls from a height of 5 meters and rebounds from the floor to a height of 3 meters. The energy lost by the ball is:w) 20 joulesx) 98 joulesy) 196 joul...
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A ball falling vertically from rest for 3 seconds travels very nearly:w) 14.7 metersx) 29.4 metersy) 44.1 metersz) 88.2 meters
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A worker lifts a 10 kilogram block a vertical height of 2 meters. The work he does on the block is:w) 5 Joulesx) 20 Joulesy) 49 Joulesz) 200 Joules
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A ball leaves a girl's hand with an upward velocity of 6 meters per second. What is the maximum height of the ball above the girl's hand?
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The height of an isosceles triangle is \((18-x) \mathrm{mm}\) and the base is \((20+2 \mathrm{x}) \mathrm{mm}\). Determine \(\times\) for a maximum area.
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The mean and median of Al's $n=3$ observations both equal 10. The mean and median of Bev's $n=5$ observations both equal 18 .(a) Carol combines Al's and Bev's data into o...
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How would removing the outlier affect the mean of the following data: 1200, 2400, 2400, 2500 and 9000?
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Which measure of central tendency would best depict the following data: 10, 200, 200, 300, 325, 350 and 400? a) Mean b) Median c) Mode
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Which of the following measures of central tendency does an outlier affect the most? a) Mean b) Median c) Mode
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Angela recorded the number of hours she spent watching TV for one week. The results were as follows: 6, 2, 2, 1.5, 3, 2.5, 2. How would removing the outlier affect the me...
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Tom recorded his daily caloric intake for 5 days. The results were as follows: 2500, 2600, 2600, 2400, and 3900. How would removing the outlier affect the mean, median an...
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The length of the diagonal of a wooden cube is $24 \mathrm{~cm} .$ The cube is cut into the cylinder of the biggest volume possible. The volume of the cylinder is:
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A class has 67 pupils. A teacher wants to form groups of 4 pupils each.(a) How many groups were formed in the class?(b) How many students remain without a group?
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A school water tank holds 100 000 litres of water. P5 pupils use 12 500 litres and P6 pupils use 67 500 litres. How much water remains in the tank?
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The heights of 20 children were measured (in centimetres) and the results were recorded. The data collected is given in the table below.1. Write down the median height me...
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The surface area of a cube is $96 \mathrm{~cm}^{2}$. Determine the volume of the cube in $\mathrm{cm}^{3}$.
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A ball of mass $m$, falling vertically downwards, hits the floor at a speed $v$ and bounces vertically upwards at a speed $0,75 \mathrm{v}$.Which ONE of the following com...
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A triangle has a base of 6 cm and a perpendicular height of 2 cm. Determine its area.
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