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NEET PHYSICSEasy

If a body is thrown up with the velocity of 15 m/s15 \text{ m/s}, then the maximum height attained by the body is: (assume g=10 m/s2g = 10 \text{ m/s}^2)

A

11.25 m

B

16.2 m

C

24.5 m

D

7.62 m

Step-by-Step Solution

  1. Identify Given Values:
  • Initial velocity, u=15 m/su = 15 \text{ m/s}.
  • Acceleration due to gravity, g=10 m/s2g = 10 \text{ m/s}^2 (acting downwards, so a=ga = -g).
  • Final velocity at maximum height, v=0v = 0.
  1. Select Kinematic Equation: Use the equation that relates velocity, acceleration, and displacement: v2=u2+2asv^2 = u^2 + 2as Here, displacement s=Hs = H (maximum height) .
  2. Substitute and Solve: 02=(15)2+2(10)H0^2 = (15)^2 + 2(-10)H 0=22520H0 = 225 - 20H 20H=22520H = 225 H=22520=11.25 mH = \frac{225}{20} = 11.25 \text{ m} .
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