Question Part Points Submissions Used A hot-air balloon is rising upward with a

Question

Question Part Points Submissions Used A hot-air balloon is rising upward with a constant speed of 2.50 m/s. When the balloon is 3.50 m above the ground, the balloonist accidentally drops a compass over the side of the balloon. How much time elapses before the compass hits the ground
Question Part Points Submissions Used
Question Part Points Submissions Used
Question Part Points Submissions Used
Question Part Points Submissions Used
Question Part Points Submissions Used A hot-air balloon is rising upward with a constant speed of 2.50 m/s. When the balloon is 3.50 m above the ground, the balloonist accidentally drops a compass over the side of the balloon. How much time elapses before the compass hits the ground A hot-air balloon is rising upward with a constant speed of 2.50 m/s. When the balloon is 3.50 m above the ground, the balloonist accidentally drops a compass over the side of the balloon. How much time elapses before the compass hits the ground Question Part Points Submissions Used

Explanation / Answer

So for this problem, you can use the following equation:

d = Vi * t + (1/2) * a * t^2

d = 3.5 m
Vi = 2.50 m/s
a = -9.8 m/s^2

3.5 = 2.5t +4.9t^2

4.9t^2 -2.5t -3.5 = 0

yhis is in th form of ax^2 +bx +c =0, solving it

t = 2.5 +- sqrt(2.5^2 + 4*4.9*3.5)/2*4.9

t = 1.129 s   snce other time factor is negative, we will not consider it

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