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.