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  4. A projectile thrown with an initial velocity of 10 ms-1 at an angle α with the horizontal, has a range of 5 m. Taking g = 10 ms-2 and neglecting air resistance, what will be the estimated value of α ?

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Q. A projectile thrown with an initial velocity of 10 ms$^-1$ at an angle $\alpha$ with the horizontal, has a range of 5 m. Taking g = 10 ms$^-2 $and neglecting air resistance, what will be the estimated value of $\alpha$ ?

WBJEEWBJEE 2019Motion in a Plane

Solution:

$5=\frac{100 sin\left(2\theta\right)}{10} \therefore sin\left(2\theta\right) =\frac{1}{2} \therefore \theta =15°, 75°$