A hot air balloon is ascending vertically at a constant rate of 2.50m/s. When the balloon is 3 meters above the ground the pilot accidentally drops a compass over the side of the balloon. How much time elapses before the compass hits the ground?

The time elapses before the compass hits the ground is 1.0781s

Explanation:

Given:

Velocity, v = 2.5m/s

Height, h = 3m

Time elapse, t = ?

We know,

a = -9.8m/s²

It is a quadratic equation and the solution would be:

The balloon goes from 3m to 0. So, y = -3m

On substituting the values in the equation we get:

t = 0.2551 ± 0.823

Since the time cannot be negative the value of t becomes 1.0781s

Therefore, time elapses before the compass hits the ground is 1.0781s

answer

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explanation:

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