A biker traveling with a velocity of 80 feet per second

Assignment Help Other Subject

Reference no: EM13473079

A biker traveling with a velocity of 80 feet per second leaves a 100 feet platform and is projected directly upward. The function for the projectile motion

Is s(t) = -16t² +80t + 100 where s(t) is the height and t is the seconds the biker is in the air.

a. a) Draw a rectangular coordinate system and sketch the height of the biker after the bike leaves the platform. Make the horizontal axis the time the biker is in the air. Label the horizontal and vertical axes. Don't forget that the biker leaves the platform at 100 feet.

b)Use your graphing utility to graph the parabola.

c)Using your graphing calculator, find how many seconds it takes for the biker to reach its maximum height. Compare this value to -b/2a, where a and b are the coefficients found from comparing the form

f(x) = ax² + bx + c to the given quadratic function. This value, -b/2a, is the x-value of the vertex. Find the y-value at this point by evaluating the function at the x-value of -b/2a. What does the y-value represent at this specific x-value? Then state the (x, y) point of the vertex or maximum point.

d)Looking at your calculator, find the number of seconds the biker is in the air (or "hang time"). Then find the range of height values that the biker attains.

e)State the domain and range of this real life example. Remember that time isn't negative and that the model is valid only when the biker is in the air!

f)Use the graph to determine when the biker will reach a height of 100 feet. State the (these) point(s) as an order pair and using functional notation.

g)Use the graph to determine what height the biker will attain after 1 second. State the point as an ordered pair and using functional notation.

h)Where is the function increasing? In other words, for what x-values does the biker continue to get higher? Where is the function decreasing? In other words, for what x-values does the biker start descending toward the ground? State these intervals using interval notation.

Reference no: EM13473079

Questions Cloud

Discuss the actions one might take if they felt that : discuss the actions one might take if they felt that someone was at risk for suicide. do contracts for safety have any

Calculate expected time or duration for each activity : project path a-c-e-j has these activity time estimates in

Please answer the given question describe how particular : please answer the following question. discuss how particular markets such as professional sports or fast food might

The bookstore employee can service 50 students per hour : 1. prepare a master production schedule mps chart using the following information.nbsp weekly demand weeks 1 thru 6 810

A biker traveling with a velocity of 80 feet per second : a biker traveling with a velocity of 80 feet per second leaves a 100 feet platform and is projected directly

Fred federal reserve economic data a database of more than : fred federal reserve economic data a database of more than 3000 u.s. economic time series contains historical data on

Explain how a matched pairs experiment should be conducted : a baseball player would like to conduct an experiment to determine how the weight of his bat the speed of a pitch and

Imagine yourself at a baseball game you are in the stands : imagine yourself at a baseball game. you are in the stands watching the game and you are sitting behind home plate.

A race track is made up of a rectangular shape 750m by 500m : a race track is made up of a rectangular shape 750m by 500m with semi-circles at each end.micheal drives around the

User Account

All Pages