Please Help!!

I would like help in how to explain how to get the answers to these questions to even a 7-year-old. (e.g. where the equations are coming from, etc.)

Julie is an avid skydiver. She has more than 300 jumps under her belt and has mastered the art of making adjustments to her body position in the air to control how fast she falls. If she arches her back and points her belly toward the ground, she reaches a terminal velocity of approximately 120 mph (176 ft/sec). If, instead, she orients her body with her head straight down, she falls faster, reaching a terminal velocity of 150 mph (220 ft/sec).

Since Julie will be moving (falling) in a downward direction, we assume the downward direction is positive to simplify our calculations. Julie executes her jumps from an altitude of 12,500 ft. After she exits the aircraft, she immediately starts falling at a velocity given byv(t) = 32t.She continues to accelerate according to this velocity function until she reaches terminal velocity. After she reaches terminal velocity, her speed remains constant until she pulls her ripcord and slows down to land.

On her first jump of the day, Julie orients herself in the slower "belly down" position (terminal velocity is 176 ft/sec). Using this information, answer the following questions.

1. How long after she exits the aircraft does Julie reach terminal velocity?

2. Based on your answer to question 1, set up an expression involving one or more integrals that represents the distance Julie falls after 30 sec.

3. If Julie pulls her ripcord at an altitude of 3000 ft, how long does she spend in a free fall?

4. Julie pulls her ripcord at 3000 ft. It takes 5 sec for her parachute to open completely and for her to slow down, during which time she falls another 400 ft. After her canopy is fully open, her speed is reduced to 16 ft/sec. Find the total time Julie spends in the air, from the time she leaves the airplane until the time her feet touch the ground.

OnJulie'ssecondjumpoftheday,shedecidesshewantstofallalittlefasterandorientsherselfinthe "headdown"position.Herterminalvelocityinthispositionis220ft/sec.Answerthesequestionsbased onthis velocity:

5. How long does it take Julie to reach terminal velocity in this case?

6. Beforepullingherripcord,Juliereorientsherbodyinthe"bellydown"positionsosheisnotmoving

quiteas fastwhenherparachuteopens.Ifshebeginsthismaneuveratanaltitudeof4000ft,howlong

doesshespend in a free fall before beginning the reorientation?

Some jumpers wear "wingsuits".Thesesuitshavefabricpanelsbetweenthearmsandlegs andallowthewearertoglidearoundinafreefall,muchlikeaflyingsquirrel.(Indeed,thesuitsaresometimes called"flyingsquirrelsuits.")Whenwearingthesesuits,terminalvelocitycanbereducedtoabout 30mph(44ft/sec), allowingthewearersamuchlongertimeintheair.Wingsuitflyersstilluse

parachutestoland;although theverticalvelocitiesarewithinthemarginofsafety,horizontalvelocities

canexceed70mph,muchtoofast to land safely.

Answer the following question based on the velocity in a wingsuit.

7. If Julie dons a wingsuit before her third jump of the day, and she pulls her ripcord at an altitude of 3000ft, how long does she get to spend gliding around in the air?