AP EAMCET · PHYSICS · Motion In Two Dimensions
If the equation of motion of a projectile is given by \(y=12 x-\frac{3}{4} x^2\) and its horizontal component of velocity is \(3 \mathrm{~ms}^{-1}\), then find its range. \(\left(g=10 \mathrm{~ms}^{-2}\right)\)
- A \(12.4 \mathrm{~m}\)
- B \(21.6 \mathrm{~m}\)
- C \(30.6 \mathrm{~m}\)
- D \(36.0 \mathrm{~m}\)
Answer & Solution
Correct Answer
(B) \(21.6 \mathrm{~m}\)
Step-by-step Solution
Detailed explanation
Let \(u\) and \(\theta\) be the velocity of projection and angle of projection, respectively. Given that, horizontal component of velocity, \(u_x=u \cos \theta=3 \mathrm{~m} / \mathrm{s}\) Equation of projectile motion is given by \(y=12 x-\frac{3}{4} x^2\) ...(i) We know,…
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