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F. (12) (1 punto posible)

You are at a point x=x(t) along a horizontal line, representing the ground. You are flying a kite which maintains a constant height of 40 meters. Assume also that the kite string is a straight line. The kite is above the point k=k(t) on the ground, which is currently 30 meters behind you.

You are running to the right at 1m/sec; in other words, x′(t)=1 m/s. Also, the kite string is lengthening at 1 m/sec. What is the horizontal velocity of the kite k′(t) at this moment?

(Type ∗ for multiplication, / for division, and ∧ for exponentiation; or enter as decimal to 2 decimal

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