Rocket#
A rocket has a velocity (pointing away from the launch pad) given by \(v(t)\)=2\(t\)-\(t^2\) where \(x\) is in meters, and \(t\) is in seconds.
Please enter in fractions rather than decimals when applicable (e.g. use 1/2 rather than 0.5)
Part 1#
(a) If the rocket started at height \(x(0)\) = 0, What is the height as a function of time in \(m\)?
Answer Section#
Please enter the equation.
Part 2#
(b) What is the acceleration as a function of time in \(m/s^2\)?
Answer Section#
Please enter the equation.
Part 3#
(c) What is the average acceleration between \(t =\) 0\(s\) and \(t =\) 5\(s\)?
Answer Section#
Please enter in a numeric value in \(m/s^2\).
Part 4#
(d) At what time does the rocket stop rising upwards and begin falling down?
Answer Section#
Please enter in a numeric value in \(s\).
Attribution#
Problem is licensed under the CC-BY-NC-SA 4.0 license.