IB Computer Science Practice Java Evaluation 2
Question 1
Consider the shape below. Write a program that will
- Ask the user to input A, B, and C as integers.
- Output the Area and Perimeter of the entire shape and the Product of all the angles in the triangle rounded to the nearest decimal place.
- Pay attention to the side lengths that are the same size
- The arc can be treated as circular.
Question 2
You have been assigned the task of helping a grade 9 math class with developing equations of linear graphs.
Write a program that will allow the user to enter the (x,y) coordinates of two points on a cartesian plane and output the equation of the straight line that passes through both of those points.
- You should display the equation in both slope / y intercept form and in standard form
- The points entered must be integers.
- Slope β y intercept form is π¦=ππ₯+π
- π is the slope of the line and π is the y intercept
- Display π and π as a decimal numbers rounded to two decimal spots and as fractions
- The fractions do NOT have to be in lowest terms
- You donβt need to worry where the negatives show up as that will depend on how you code it. (You need additional programming concepts to make it look pretty)
- Standard form π΄π¦+π΅π₯=πΆ
- A, B, and C are always integer values.
Question 3
You been assigned the task of determining how fast you need to shoot a projectile from a cliff in order to hit a target a certain distance away.
Using some crazy physics and calculus skills you come up with the following equation for the initial speed of that projectile
Write a program that randomly generates a target distance and cliff height and then uses the equation to determine the launch speed.
- The launch angle can be controlled through user input.
- The initial speed can be displayed to one decimal spot.
Question 4
You have been assigned the task of helping a grade 10 math class with some quadratics.
Your program should be able to take the factored form of a quadratic and
- Convert the Quadratic to Standard Form
- Display the Vertex of the Quadratic function
Example: Given π¦=(2π₯β3)(4π₯+5)
- Standard form π¦=8π₯2β2π₯β15
- Vertex (0,-15)
Hint: The x coordinate will be halfway between the two roots since it is symmetric. The y coordinate can be found by plugging the x coordinate back into the equation.
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