You have designed a rocket to be used to sample the local atmosphere for pollution. it is fired vertically with a constant upward acceleration of 19 m/s2. after 20 s, the engine shuts off and the rocket continues rising (in freefall) for a while. (neglect any effects due to air resistance.) the rocket eventually stops rising and then falls back to the ground. you want to get a sample of air that is 14 km above the ground. (a) what is the highest point your rocket reaches?

the highest point the rocket reaches is

Explanation:

Hi

First of all we are going to use while the engine is on, so .

Second, we're going to find the speed as the engine shuts off, so we have

Third, we need the time when the rocket reaches max high after engine turns off, to do that we use , then we isolate t,

Finally we can find highest point by using

the old price per ounce is c/4.

the new price per ounce is c/3.6.

the ratio of the old price to the new one is

(c/4)/(c/3.6) = (c/c)×(3.6/4) = 0.9 . . = 9/10 . . "nine tenths" in either form