Rankers Physics
Topic: Kinematics
Subtopic: Projectile from Height

An object is projected horizontally from a 45 m high cliff with a speed of 40 m/s. With what speed will it strike the ground? (Take g=10 m/s²)
20 m/s
30 m/s
40 m/s
50 m/s

Solution:

  • Time to fall:
    t=2h/g=90/10=3t = \sqrt{2h/g} = \sqrt{90/10} = 3
     

    s

  • Vertical velocity:
    vy=gt=10×3=30v_y = gt = 10 \times 3 = 30
     

    m/s

  • Resultant velocity:
    v=vx2+vy2=402+302=50v = \sqrt{v_x^2 + v_y^2} = \sqrt{40^2 + 30^2} = 50
     

    m/s

Answer: 50 m/s

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