• Join over 1.2 million students every month
• Accelerate your learning by 29%
• Unlimited access from just £6.99 per month

# Scoring a Basket.

Extracts from this document...

Introduction

MATHS COURSEWORK – SCORING A BASKET

Task: Find values for the initial speed and angle of projection needed to score a basket in basketball from the free throw line. Is there a range of values of angle for an initial velocity that will still allow you to score a basket?

Method: To solve this problem I am going to record myself scoring 10 clean baskets (the ball does not touch the hoop or back board) on video camera. Having done this I will know the time taken from the ball leaving my hands to it going into the basket. By using vector equations for Displacement, Velocity and Aceeleration in relation to time I will be able to calculate:

• The maximum height achieved by the ball.
• The distance travelled by the ball
• The time taken to travel this distance
• The height of release and the height at which it lands.

This will give me an accurate model of the balls motion through the air. I will be able to use the velocity vector equations to find the horizontal and vertical components of velocity for each throw. Using Pythagoras Theorem I will be able to calculate the initial velocity. Using trigonometry I will also be able to calculate the angle of release. This will allow me to analyse how initial velocity and the angle of release are related and therefore allow me to find a range of values for the angles of release for a given velocity.

...read more.

Middle

3

1.03

1.950

54.339

7.614

4

1.01

1.903

53.468

7.605

5

1.1

2.125

57.232

7.679

6

1.07

2.049

56.021

7.645

7

1.16

2.286

59.521

7.770

8

1.12

2.178

58.014

7.706

9

1.06

2.024

55.608

7.636

10

1.09

2.099

56.833

7.667

Average

1.077

2.070

56.252

7.663

I have also investigated the velocity needed to achieve a basket for any given angle. Although I dont know the values for the horizontal and vertical components of velocity they can be represented by

[             ]

These values can be put into the position vector equation to give:

[                            ]

I know that the horizontal component is equal to 4.572 m so I can rearrange to give:

This can then be substituted into the vertical component of the position equation. This leaves only t as an unknown quantity so:

This gives the total time for the throw. This value can now be substituted into the velocity vector equation to find the initial velocity as shown earlier.

...read more.

Conclusion

Finally, the experiment in general had the possibility for a lot of errors. For example there was human error involved in the timing of each throw and the measuring of the release point so the answers derived from these values would be inaccurate. Also because there are so many calculations it means that any error gets increasing multiplied to cause an even bigger inaccuracy. Having said this there isn’t a lot that can be done to gain more accurate results without using advanced equipment. For example light gates could be used to measure the time of the throw more accurately and machines could be used to throw the ball so that the release height, velocity and angle could all be better controlled.

There are a number of things that could be investigated to achieve a more accurate representation of the angles needed to score a basket. Firstly I only looked at the angle of release for one release height. If the release height was higher or lower then the release angle could change or the velocity needed for a certain angle would be different which might make the optimum angle for different people. Secondly you could look at the affect of jump shots from the free throw line, again this is increasing the release height.

...read more.

This student written piece of work is one of many that can be found in our GCSE Forces and Motion section.

## Found what you're looking for?

• Start learning 29% faster today
• 150,000+ documents available
• Just £6.99 a month

Not the one? Search for your essay title...
• Join over 1.2 million students every month
• Accelerate your learning by 29%
• Unlimited access from just £6.99 per month

# Related GCSE Forces and Motion essays

1. ## This investigation is associated with the bounce of a squash ball. I will be ...

I will use a metre stick that is held in an upright position and drop the ball, using my hand, from a certain height then record how high the ball bounces. I will take into account my eye being level in a parallax for fair and accurate results (idea of eye being level is shown below).

2. ## Investigation into the range of a ski jump

against h1 (on the x-axis), with the gradient (m) equal to: 4h2 This will allow me to predict the shape of the graph. Prediction: This prediction is purely based on the formula (incomplete energy transfer from PE to KE has not been accounted for). The height of the table is 85cm (h2)

1. ## Squash Ball and Temperature Investigation

hard surface and clamp it so that it will remain stationary when you perform the bounce test. 5. Once the ball has been heated, hold it exactly 1 metre above the hard surface and then drop the ball. Ask you partner to measure where the ball bounced up to. 6.

2. ## Investigating the amazingness of theBouncing Ball!

From these results I can find out how bouncy the ping pong ball is: knowing that this collision is elastic. Whenever two bodies collide, their total momentum [momentum (p)=mass (m) x velocity (v)] is conserved unless there are external forces acting on them.

1. ## I am going to use some physics principals to find out the height of ...

/ 2a = 2.81 m Range Average horizontal speed = total distance / total time = 3.02 / 0.24 (m/s) = 12.58m/s When the ball reached the highest point the vertical velocity was 0. Vertical: v = 0 m/s a = -9.8 m/s2 u = 7.42 m/s a = (v - u)

2. ## How does height influence velocity.

The Formula which we will use in the experiment is V = 2GH This shows the speed or velocity will equal the square root of two times gravity times height. The gravity is measured in N/Kg and gravity on earth is 10 N/Kg.

1. ## Motion of an object as it slides down a slope at different angles to ...

The measurement is made from the floor perpendicular to the table edge to the nearest mark that is parallel to the edge of the table. This is because I have chosen to measure l from the bottom of the cylinder - measuring where it cuts the paper will be equivalent

2. ## Gaydon Technology Partnership Centre

SAFETY TEST CRASH SLED The crash sled or deceleration rig is used to test various internal components of cars such as seats and mountings.It simulates collisions that the car may have and can be altered to replicate different situations including different speeds,force or deceleration.The law states that seat anchorage's are • Over 160,000 pieces
of student written work
• Annotated by
experienced teachers
• Ideas and feedback to
improve your own work 