Easy MCQ +4 / -1 PYQ · JEE Mains 2021

A player kicks a football with an initial speed of 25 ms$-$1 at an angle of 45$^\circ$ from the ground. What are the maximum height and the time taken by the football to reach at the highest point during motion ? (Take g = 10 ms$-$2)

  1. A h<sub>max</sub> = 10 m<br><br>T = 2.5 s
  2. B h<sub>max</sub> = 15.625 m<br><br>T = 3.54 s
  3. C h<sub>max</sub> = 15.625 m<br><br>T = 1.77 s Correct answer
  4. D h<sub>max</sub> = 3.54 m<br><br>T = 0.125 s

Solution

$H = {{{U^2}{{\sin }^2}\theta } \over {2g}}$<br><br>$= {{{{(25)}^2}.{{(\sin 45)}^2}} \over {2 \times 10}}$<br><br>= 15.625 m<br><br>$T = {{U\sin \theta } \over g}$<br><br>$= {{25 \times \sin 45^\circ } \over {10}}$<br><br>= 2.5 $\times$ 0.7<br><br>= 1.77 s

About this question

Subject: Physics · Chapter: Kinematics · Topic: Motion in a Straight Line

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