Please. Need help with quadratic word problem

In summary, the conversation is about solving a quadratic word problem involving an object being launched upward from a 39.2-meter tall platform. The equation representing the path of the object is needed, as well as finding the height after 3 seconds, the time span when the object is above 40 meters, the maximum height reached, the time taken to reach maximum height, and the time it takes for the object to hit the ground. The practical domain and range are also mentioned.
  • #1
tw1nky62
2
0
Please. Need help with quadratic word problem!

PLEASE HELP WITH THIS!
An object is launched upward at 9.8 meters per second (m/s) from a 39.2-meter tall platform.

a)write an equation representing this path

b) What is the height of the object after 3 seconds

c) For what time span is the object more than 40 meters above the ground?

d) what is the maximum height of the object

e) how long did it take for the object to reach maximum height

f) how long does it take for the object to hit the ground

g) State the practical domain

h) state the practical range
 
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  • #2


please help me with this!
 
  • #3


to get you started...

b) you know that the acceleration is - 9.8m/s^2 ( as its going against gravity), the initial velocity is 9.8 m/s and the time is 3s and you want out find its height. so use an equation that has all 4 of these into calculate the height and then add the initial 39.2m height onto this answer to give you your total max hieght.
 

Related to Please. Need help with quadratic word problem

1. How do I solve a quadratic word problem?

To solve a quadratic word problem, you need to first identify the variables and write down the given information in terms of these variables. Then, use the quadratic formula or complete the square to find the solutions.

2. What is the quadratic formula?

The quadratic formula is a mathematical formula that is used to solve quadratic equations. It is written as x = (-b ± √(b² - 4ac)) / 2a, where a, b, and c are the coefficients in the quadratic equation ax² + bx + c = 0.

3. How do I know if a word problem is quadratic?

A word problem is considered quadratic if it can be written in the form of ax² + bx + c = 0, where a, b, and c are constants and x is the variable. It may also involve finding the maximum or minimum value of a quadratic function.

4. What are some common strategies for solving quadratic word problems?

Some common strategies for solving quadratic word problems include setting up equations, using the quadratic formula or completing the square, graphing the problem to find the solutions, and checking the solutions for accuracy.

5. Can you provide an example of a quadratic word problem?

Sure, here is an example: A ball is thrown into the air from a height of 25 feet with an initial velocity of 40 feet per second. The height of the ball can be modeled by the equation h(t) = -16t² + 40t + 25, where t is the time in seconds. What is the maximum height the ball reaches and how long does it take to reach this height? To solve this problem, we can use the quadratic formula to find the x-coordinate of the vertex, which represents the maximum height. We can also solve for t when h(t) = 0 to find when the ball hits the ground.

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