P4.5: Projectiles and Regression
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Last updated almost 4 years ago
15 questions
Note from the author:
For more projectile motion review, see this video.
For regression, check the notes videos in modules.
To do quadratic regression without your calculator, check out this site.
For more projectile motion review, see this video.
For regression, check the notes videos in modules.
To do quadratic regression without your calculator, check out this site.
1
A pumpkin is launched directly upwards at 72 ft/s from a 24 ft platform. The pumpkin height, h, at t seconds is given by the function h(t) = -16t2+72t+24.
Find the maximum height of the pumpkin, in feet.Your answer should be a number, no spaces.
A pumpkin is launched directly upwards at 72 ft/s from a 24 ft platform. The pumpkin height, h, at t seconds is given by the function h(t) = -16t2+72t+24.
Find the maximum height of the pumpkin, in feet.
Your answer should be a number, no spaces.
1
A pumpkin is launched directly upwards at 72 ft/s from a 24 ft platform. The pumpkin height, h, at t seconds is given by the function h(t) = -16t2+72t+24.
Find the time to reach the maximum height, in seconds.Your answer should be a number, no spaces. Write your answer as a decimal rounded to the nearest hundredth.
A pumpkin is launched directly upwards at 72 ft/s from a 24 ft platform. The pumpkin height, h, at t seconds is given by the function h(t) = -16t2+72t+24.
Find the time to reach the maximum height, in seconds.
Your answer should be a number, no spaces. Write your answer as a decimal rounded to the nearest hundredth.
1
A squirrel 24 ft up a tree tosses a nut out of the tree. The nut's height, h, at time t seconds can be represented by the equation h(t) = -16t^{2} + 8t+24.
At what time does the nut hit the ground? Enter your answer as a number with 1 decimal place.
A squirrel 24 ft up a tree tosses a nut out of the tree. The nut's height, h, at time t seconds can be represented by the equation h(t) = -16t^{2} + 8t+24.
At what time does the nut hit the ground?
Enter your answer as a number with 1 decimal place.
1
A quarterback throws a football. The height, h, of the ball at time t seconds is given by h(t) = -16t^{2}+20t+6.
What is the maximum height of the ball during the throw?Enter your answer as a number to two decimal places.
A quarterback throws a football. The height, h, of the ball at time t seconds is given by h(t) = -16t^{2}+20t+6.
What is the maximum height of the ball during the throw?
Enter your answer as a number to two decimal places.
1
A quarterback throws a football. The height, h, of the ball at time t seconds is given by h(t) = -16t^{2}+20t+6.
At what time does the ball reach its maximum height?Enter your answer as a number to three decimal places.
A quarterback throws a football. The height, h, of the ball at time t seconds is given by h(t) = -16t^{2}+20t+6.
At what time does the ball reach its maximum height?
Enter your answer as a number to three decimal places.
1
A penny is dropped from the top of the Statue of Liberty, which is 305 ft tall. The height of the penny, h, at time t seconds, is given by h(t) = -16t2 + 305.
After 4 seconds, how much further (in ft) does the penny need to travel before it hits the ground?Your answer should be a number, no spaces.
A penny is dropped from the top of the Statue of Liberty, which is 305 ft tall. The height of the penny, h, at time t seconds, is given by h(t) = -16t2 + 305.
After 4 seconds, how much further (in ft) does the penny need to travel before it hits the ground?
Your answer should be a number, no spaces.
1
A penny is dropped from the top of the Statue of Liberty, which is 305 ft tall. The height of the penny, h, at time t seconds, is given by h(t) = -16t2 + 305.
How long (in seconds) will it take for the penny to reach the ground, starting from when it is dropped and stopping when it hits the ground?Your answer should be a number, no spaces. Round to the nearest thousandth.
A penny is dropped from the top of the Statue of Liberty, which is 305 ft tall. The height of the penny, h, at time t seconds, is given by h(t) = -16t2 + 305.
How long (in seconds) will it take for the penny to reach the ground, starting from when it is dropped and stopping when it hits the ground?
Your answer should be a number, no spaces. Round to the nearest thousandth.
1
The table gives the average cost of tuition and fees at a four-year college in years since 1991.Write an equation for the curve of best fit using quadratic regression.
What is the value of the coefficient of x2, to the nearest thousandth?
Your answer should be a number to three decimal places, no spaces.
The table gives the average cost of tuition and fees at a four-year college in years since 1991.
Write an equation for the curve of best fit using quadratic regression.
What is the value of the coefficient of x2, to the nearest thousandth?
Your answer should be a number to three decimal places, no spaces.
1
In what year will the tuition and fees reach $15,000?
Use two decimal places for all your coefficients.
Your answer should be a four-digit number, no spaces.
The key HAS been checked.
In what year will the tuition and fees reach $15,000?
Use two decimal places for all your coefficients.
Your answer should be a four-digit number, no spaces.
The key HAS been checked.
1
The table above shows the hourly temperatures for a city in Ohio on 2/10/2012, as predicted by the local news, at certain times since 10 am.
Write an equation for the curve of best fit using quadratic regression.
What is the value of the coefficient of x, to the nearest thousandth?
Your answer should be a number rounded to three decimal places, no spaces.
The key HAS been checked.
The table above shows the hourly temperatures for a city in Ohio on 2/10/2012, as predicted by the local news, at certain times since 10 am.
Write an equation for the curve of best fit using quadratic regression.
What is the value of the coefficient of x, to the nearest thousandth?
Your answer should be a number rounded to three decimal places, no spaces.
The key HAS been checked.
1
What will the temperature be at 7:00pm, to the nearest hundredth? (Hint: you will need to find what "x" value 7pm is)
Use two decimal places for all your coefficients.
Your answer should be a number rounded to two decimal places, no spaces.
What will the temperature be at 7:00pm, to the nearest hundredth? (Hint: you will need to find what "x" value 7pm is)
Use two decimal places for all your coefficients.
Your answer should be a number rounded to two decimal places, no spaces.
1
REVIEW:Simplify. Enter your answer as a complex number, a+bi, no spaces.
(3+5i)(2-i)
REVIEW:
Simplify. Enter your answer as a complex number, a+bi, no spaces.
(3+5i)(2-i)
1
REVIEW:Simplify. Enter your answer as a complex number, a+bi, no spaces.
(2+i)(2-i)
REVIEW:
Simplify. Enter your answer as a complex number, a+bi, no spaces.
(2+i)(2-i)
1
REVIEW:Simplify. Enter your answer as a complex number, a+bi, no spaces.
(2+i)^{2} - (2-i)
REVIEW:
Simplify. Enter your answer as a complex number, a+bi, no spaces.
(2+i)^{2} - (2-i)
1
REVIEWSolve the quadratic equation.
x^{2} = 5x-6
Use x={#, #} format, with one space after the comma, no others. List the smaller number first.
REVIEW
Solve the quadratic equation.
x^{2} = 5x-6
Use x={#, #} format, with one space after the comma, no others. List the smaller number first.