Question

Help please! 100 points!

Sean tossed a coin off a bridge into the stream below.
The path of the coin can be represented by the equation
H= -16t^2 + 72t + 100
t= time in seconds
h=height in feet

Answer 1

Answer: It will take 5.61 seconds for the coin to reach the stream.

Explanation:

The height of the coin, after t seconds, is given by the following equation:

How long will it take the coin to reach the stream?

The stream is the ground level.

So the coin reaches the stream when h(t) = 0.

Multiplying by (-1)

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

This polynomial has roots such that , given by the following formulas

In this question:

So

Time is a positive measure, so we take the positive value.

It will take 5.61 seconds for the coin to reach the stream.The height of the coin, after t seconds, is given by the following equation: