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BITSAT 2014
Exam
BITSAT
Year
2014
Subject
Physics
Chapter
Motion in Two Dimensions

BITSAT 2014 · Physics · Motion in Two Dimensions

A projectile is fired with a velocity u making an angle θ with the...

A projectile is fired with a velocity u making an angle θ\theta with the horizontal. What is the magnitude of change in velocity when it is at the highest point -

Options

  1. Aucos⁡θu \cos \theta
  2. Bu\mathrm{u}
  3. Cusin⁡θ\mathrm{u} \sin \theta
  4. Ducos⁡θ−u\mathrm{u} \cos \theta-\mathrm{u}

Correct answer

C. usin⁡θ\mathrm{u} \sin \theta

Step-by-step solution

Initially u=cos⁡θi^+usin⁡θj^\mathrm{u}=\cos \theta \hat{\mathrm{i}}+\mathrm{u} \sin \theta \hat{\mathrm{j}}. At highest point v=ucos⁡θi^∴\mathrm{v}=\mathrm{u} \cos \theta \hat{\mathrm{i}}\therefore difference is usin⁡θ\mathrm{u} \sin \theta
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