Rocket#

A rocket has a velocity (pointing away from the launch pad) given by \(v(t)\)=5\(t\)-\(t^2\) 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 \(t =\) 4\(s\)?

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.
The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.