A kite $50$m above ground is being blown away from the person holding its string in a direction para

Question

A kite $50$m above ground is being blown away from the person holding its string in a direction parallel to the ground at a rate $5$m per second. Assuming that the string is taut, at the instant when the length of the string already let out is $100$m, find, leaving your answers in exact form, the rate of change of the angle between the string and the ground, [3] the rate at which the string of the kite should be let out. [4]

Accepted Answer

(i) $-\frac1{40}\text{ rad/s}$; (ii) $\frac52\sqrt3\text{ m/s}$

2019 ACJC P1 Q4

2019 ACJC P1 Q4

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