Q29 / 72 · NTA Abhyas (JEE Main) 2020 · Physics · Motion In Two Dimensions

A particle is projected from the ground and simultaneously a wedge starts moving towards the right, as shown in the figure. The maximum height of the wedge for which the particle will not hit the wedge is g=10 ms-2

Figure

  • Correct answer
    A
    289 m
  • B
    283 m
  • C
    73 m
  • D
    74 m

Solution

Initial velocities of the particle

u x =10cos⁡53=6 m/s

u y =10sin⁡53=8 m/s

6t=1+t+x.35 [where x is the length of the hypotenuse of the wedge]

5t=1+3x5       (in x - direction)

8t-5t2=4.x5       (in y - direction)

x=359m

Height =359×45=289m

Hence, the correct answer is option: 'A'.

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