Question bank: Second Degree Function: Introduction

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Question 1:

Medium

Second Degree Function: Introduction

Question 2:

Very Hard

A ball is thrown vertically upwards from the ground with an initial velocity of 20 m/s. The height h (in meters) that the ball reaches after t seconds is given by the function h(t) = -5t^2 + 20t. Considering that the acceleration due to gravity is 10 m/s^2, and knowing that the quadratic function h(t) describes the ball's motion at time t, answer: (1) What is the maximum height the ball reaches? (2) How long does it take for the ball to reach this maximum height? Justify your answers, demonstrating the calculation clearly and in detail. Additionally, discuss how the quadratic function h(t) relates to uniformly varied motion (MUV), specifically with the concept of vertical launch, including the influence of the quadratic term in describing the motion.

Second Degree Function: Introduction

Multidisciplinary Question

Question 3:

Medium

A ball is kicked upwards from the ground with a force that makes it describe a trajectory that can be modeled by a quadratic function. This function represents the height h(t) of the ball in meters, t seconds after the kick, and is given by h(t) = -5t² + 20t. Considering the physical context of the situation, where h(t) is the height of the ball and t is the time elapsed since the kick, answer: 1) What is the maximum height the ball reaches and when does this occur? 2) What is the initial velocity of the ball at the moment of the kick? Justify your answers using the concepts of the vertex of the parabola and the derivative of the function h(t).

Second Degree Function: Introduction

Theorical Question

Contextualized Question

Question 4:

Easy

Consider the function f(x) = ax² + bx + c, where a, b, and c are real constants. What is the degree of this function?

Second Degree Function: Introduction

Question 5:

Medium

Second Degree Function: Introduction

IARA TIP

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