Mathematics is prevalent in all aspects of our lives from the grocery to the mechanic shop and from the classroom

to the playing field. In this section, we'll discuss how mathematics is applied in the field of sports. Let's take a look at

the examples below:

A basketball player shoots a basketball from his hand at an initial height of 1 m with an initial upward velocity of 10

meters per second. What is the equation to represent the height of the ball after 2 seconds?

The quadratic equation to represent a parabola is y = ax2 + b x + c. In this problem, write the equation as h=0.5 a

t2+ut where t is time in seconds,' a' is the acceleration and u is the initial velocity with which the ball is thrown and h

is the height of the basket.

The number of balls faced by a batsman is 50 and the runs scored by him are 100. Find the strike rate given that

strike rate is the runs scored by the batsman per 100 balls faced.

**Answer:**

Runs scored for 50 balls = 100 |
Represent runs scored per ball as x |

1. Runs scored for 1 ball = 100/50 = 2 | x = 100/50 |

2. Strike rate = runs scored for 100 balls = 200 | Represent strike rate with s, then s = 100x = 200 |

A batsman has scored 200 runs in 14 overs. Calculate his run rate per over given that

run rate = runs scored / overs.

**Answer: **

Step 1 Run rate = runs scored/ overs

Let run rate = r, runs scored = x and overs = o

Step 2 Run rate = 200/14 = 14.28

Then r = x/o = 200/14 = 14.28

1. Lenny drives his bike the first 3 hours of his journey at 12 mph speed and the remaining 5 hours at 10 mph speed. What is the average speed of Jim's travel in mph?

12 mph

8 mph

10.75 mph

12.5 mph

11 mph

**Answer: C**

Average speed =

Total distance traveled by Lenny = Distance covered in the first 3 hours + Distance covered in the next 5 hours.

Distance covered in the first 3 hours = 3 * 12 = 36 miles

Distance covered in the next 5 hours = 5 * 10 = 50 miles

Therefore, total distance traveled = 36 + 50 = 86 miles.

Total time taken = 3 + 5 = 8 hours.

Average speed = 86 / 8 = 10.75 mph.

- Absolute Values
- Adding and Subtracting Fractions
- Addition of Decimals
- Algebra Linear Equations
- Algebra Quadratic Equations
- Algebra Simultaneous Equations
- Algebraic Properties
- Algebraic Function
- Analyzing and Integrating
- Asymptotes
- Bar Graphs
- Basics of Statistics
- Circular Permutations
- Combinations
- Complex Numbers
- Complex Numbers AddSub
- Complex Numbers Division
- ComplexNumbers Multiplication
- Complex Numbers Properties
- Composite Functions
- Cube and Cube Roots
- Data collection Add Multipli Rules
- Datacollection GroupedMean
- Datacollection Mean
- Datacollection Median
- Datacollection Mode
- Datacollection Probabilitybasics
- Datacollection Probabilityevents
- Dividing Rational Numbers
- Division of Decimals
- Domain of SquareRootFunction
- EquationsReducibleQuadratic
- Exponential Functions
- ExponentialLogarithmicFunction
- Factorization
- FactorizationAnyQPolynomial
- FactorizationMonicQPolynomial
- Fractions & Decimal Conversion
- Functions
- Geometry Basics
- Graph of Rational Functions
- Graph of SquareRootFunction
- GraphicalRepresentation
- Graph of Complex Numbers
- Graphs Functions
- HighestCommonFactor
- Inequalities
- Inverse Square Functions
- Inverse of a Function
- Justifying Solutions
- LeastCommonMultiple
- Linear Equations2Variables
- LinearEquations3Variables
- Linear Equation System
- Linear Equation Graphs
- Linear Inequalities Graphs
- Maxima Minima Zeros
- More Functions
- Multiplication of Decimals
- Multiplying Rational Numbers
- Multiplying Two Polynomials
- Other Functions
- Permutations
- Pictorial BarChart
- Pictorial Bivariatedata
- Pictorial BoxPlots
- Pictorial FrequencyTable
- Pictorial Histogram
- Pictorial LineCharts
- Pictorial PieChart
- Pictorial StemLeafPlot
- Polynomials Addition
- Polynomials Division
- Polynomials Multiplication
- Predicting Values
- Problem Solving Strategies
- Quadratic Equation
- QuadraticEquationsFormula
- QuadraticEquationsSolutions
- QuadraticInequalities
- Rational Behind Functions
- Rational Expression
- Rational Functions
- Real Numbers
- Reciprocal Functions
- Recursive Multiplication
- Rational Numbers
- Review of functions
- Review of Sets and Relations
- Rounding Numbers
- Scientific Notation
- Simple Probabilities
- SimplifyingRationalExpressions
- SolutionQuadratEquawhen
- Solving Fractions
- SolvingQuadraticEquations
- Square of a Binomial
- SquareRootFunctions
- SquareRootFunInequalities
- Squares and Square Roots
- Step Function
- Subtraction of Decimals
- Types of Functions
- Unit Conversions Measurements
- WordProblemsQE