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Applications of Horizontal and Vertical Components

Given is the ...

Question

Given is the direction of velocity of the object on an incline of $45^{o}$ .
If the time of flight for the projectile is $\frac{160 + x}{100}$ . Find $x$ $(g = 10 m / s^{2})$

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Solution

Time of flight , $T = \frac{2 u sin (θ - α)}{g cos α} = \frac{2 \times 20 \sqrt{2} \times sin (45 - 30)}{10 \times cos 30} = 1.69 = \frac{169}{100}$
thus, $x = 9$

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