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JIPMER 2015
Exam
JIPMER
Year
2015
Subject
Physics
Chapter
Motion in Two Dimensions

JIPMER 2015 · Physics · Motion in Two Dimensions

A projectile is fired with a velocity u at angle θ with the ground...

A projectile is fired with a velocity uu at angle θ\theta with the ground surface. During the motion at any time it is making an angle α\alpha with the ground surface. The speed of particle at this time will be

Options

  1. Aucos⁡θsec⁡αu \cos \theta \sec \alpha
  2. Bucos⁡θ⋅tan⁡αu \cos \theta \cdot \tan \alpha
  3. Cu2cos⁡2αsin⁡2αu^2 \cos ^2 \alpha \sin ^2 \alpha
  4. Dusin⁡θ⋅sin⁡αu \sin \theta \cdot \sin \alpha

Correct answer

A. ucos⁡θsec⁡αu \cos \theta \sec \alpha

Step-by-step solution

Horizontal component of velocity is always same ⇒vcos⁡α=ucos⁡θ or, v=ucos⁡θcos⁡α or, V=ucos⁡θsec⁡α\begin{aligned} & \Rightarrow \quad v \cos \alpha=u \cos \theta \\ & \text{ or, } \quad v=\frac{u \cos \theta}{\cos \alpha} \\ & \text{ or, } \quad V=u \cos \theta \sec \alpha \\ & \end{aligned}
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