Verified Solution • 2025–26 Session moderate

QJEEM21Phbbb7: JEE Main 2021 Physics - Class 11 JEEM21Phbbb7 Solution: A player kicks a football with an initial speed of 25 ms 1 at…

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)

Multiple Choice Options

  • A hmax = 10 mT = 2.5 s
  • B hmax = 15.625 mT = 3.54 s
  • C hmax = 15.625 mT = 1.77 s
  • D hmax = 3.54 mT = 0.125 s

Step-by-Step Verified Solution

H=U2sin⁡2θ2gH = {{{U^2}{{\sin }^2}\theta } \over {2g}}

=(25)2.(sin⁡45)22×10= {{{{(25)}^2}.{{(\sin 45)}^2}} \over {2 \times 10}}

= 15.625 m

T=Usin⁡θgT = {{U\sin \theta } \over g}

=25×sin⁡45∘10= {{25 \times \sin 45^\circ } \over {10}}

= 2.5 ×\times 0.7

= 1.77 s

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