Question

A object is flying with velocity 10i+12j m/s and wind is blowing along x axis with velocity u.
If the object starts motion from A and after some time reaches point B, find the value of u

Answer 1

Answer on Question #44625-Physics-Mechanics-Kinematics-Dynamics

An object is flying with velocity $10i + 12j \, \text{m/s}$ and wind is blowing along x axis with velocity u. If the object starts motion from A and after some time reaches point B, find the value of u

Solution

If the object starts motion from A and after some time reaches point B, its velocity $\bar{v} = (10 + u)i + 12j\frac{m}{s}$ must be collinear with vector $\overline{AB}$ :

$$\frac {v _ {y}}{v _ {x}} = \tan 3 7 {}^ {\circ}.$$

So

$$\frac {1 2}{(1 0 + u)} = \tan 3 7 {}^ {\circ} \rightarrow u = \frac {1 2}{\tan 3 7 {}^ {\circ}} - 1 0 = 6 \frac {m}{s}.$$

Answer: $6 \frac{m}{s}$ .

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