Can you help me do all parts **Problem Statement:**A golf ball is hit from the top of a cliff and lands on the green located at the bottom of the valley. The path of the golf ball can be modeled by the relation $ h(t) = -2(t - 5)^2 + 60 $ where $ h(t) $ is the height in meters above the valley and $ t $ is the time after the ball was hit, in seconds.**Instruction:**Sketch a graph of the situation.**Graph Explanation:**The provided grid should be used to sketch the graph of the function $ h(t) = -2(t - 5)^2 + 60 $. This is a quadratic function in vertex form, indicating the path of the golf ball.Key points for sketching the graph:1. **Vertex**: The vertex of the parabola is at $ (t, h(t)) = (5, 60) $. This represents the highest point the ball reaches.2. **Shape**: The parabola opens downward (as indicated by the negative coefficient of the squared term).3. **Intercepts**: The points where the parabola intersects the t-axis (i.e., $ h(t) = 0 $) indicate the moments when the ball hits the ground.To plot the sketch:- Start at the vertex (5, 60).- For corresponding $ t $ values on both sides of 5, calculate $ h(t) $ and plot these points.- Continue plotting points until $ h(t) = 0 $ is reached both on the left and right sides of the vertex.The final sketch should depict the trajectory of the golf ball from the moment it is hit until it lands back on the ground. The graph's x-axis represents time (in seconds), and the y-axis represents height above the valley (in meters). ### Golf Ball Trajectory Analysis Questions1. **What is the maximum height of the golf ball and at what time does this max occur?**2. **When is the golf ball at a height of 52m? Explain your answer.**3. **What is the height of the cliff?**4. **How long does it take for the golf ball to reach the ground? Round your answer to the nearest tenth of a second.**

Name: Can you help me do all parts **Problem Statement:**A golf ball is hit
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Description: Can you help me do all parts **Problem Statement:**A golf ball is hit from the top of a cliff and lands on the green located at the bottom of the valley. The path of the golf ball can be modeled by the relation $ h(t) = -2(t - 5)^2 + 60 $ where \(

The equation of the path of ball is . Here, is height of the ball from ground in meters, and is…

Math

Algebra

What is the maximum height of the golf ball and at what time does this max occur? I When is the golf ball at a height of 52m? Explain your answer. What is the height of the cliff? How long does it take for the golf ball to reach the ground? Round yqur answer to the nearest tenth of a second.

What is the maximum height of the golf ball and at what time does this max occur? I When is the golf ball at a height of 52m? Explain your answer. What is the height of the cliff? How long does it take for the golf ball to reach the ground? Round yqur answer to the nearest tenth of a second.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.

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Question

Can you help me do all parts

**Problem Statement:**

A golf ball is hit from the top of a cliff and lands on the green located at the bottom of the valley. The path of the golf ball can be modeled by the relation $ h(t) = -2(t - 5)^2 + 60 $ where $ h(t) $ is the height in meters above the valley and $ t $ is the time after the ball was hit, in seconds.

**Instruction:**

Sketch a graph of the situation.

**Graph Explanation:**

The provided grid should be used to sketch the graph of the function $ h(t) = -2(t - 5)^2 + 60 $. This is a quadratic function in vertex form, indicating the path of the golf ball.

Key points for sketching the graph:
1. **Vertex**: The vertex of the parabola is at $ (t, h(t)) = (5, 60) $. This represents the highest point the ball reaches.
2. **Shape**: The parabola opens downward (as indicated by the negative coefficient of the squared term).
3. **Intercepts**: The points where the parabola intersects the t-axis (i.e., $ h(t) = 0 $) indicate the moments when the ball hits the ground.

To plot the sketch:
- Start at the vertex (5, 60).
- For corresponding $ t $ values on both sides of 5, calculate $ h(t) $ and plot these points.
- Continue plotting points until $ h(t) = 0 $ is reached both on the left and right sides of the vertex.

The final sketch should depict the trajectory of the golf ball from the moment it is hit until it lands back on the ground. The graph's x-axis represents time (in seconds), and the y-axis represents height above the valley (in meters).

### Golf Ball Trajectory Analysis Questions

1. **What is the maximum height of the golf ball and at what time does this max occur?**

2. **When is the golf ball at a height of 52m? Explain your answer.**

3. **What is the height of the cliff?**

4. **How long does it take for the golf ball to reach the ground? Round your answer to the nearest tenth of a second.**

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