1. A 20 kg object is thrown with an initial upward velocity of 2 m/s. If air resists motion of the object by 4 N for each m/s, what is the terminal velocity of this object? (Hint: use the model developed in Day 10 Lecture notes)

Question

Mathematics

Kendall Forbes

7 June, 16:25

1. A 20 kg object is thrown with an initial upward velocity of 2 m/s. If air resists motion of the object by 4 N for each m/s, what is the terminal velocity of this object? (Hint: use the model developed in Day 10 Lecture notes)

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Answers (1)

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Adalynn Simpson · Answer 1

49 m/s

Step-by-step explanation:

We don't know what your model is, so we'll solve this based on the balance of forces. Air resistance exerts an upward force of ...

(4 N / (m/s)) v

Gravity exerts a downward force of ...

(20 kg) (9.8 m/s²) = 196 N

These are balanced (no net acceleration) when ...

(4 N / (m/s)) v = 196 N

v = (196 N) / (4 N / (m/s)) = 49 m/s

The terminal velocity is expected to be 49 m/s.