Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AP EAMCET202124 Aug 2021Morning ShiftPhysicsMotion in Two DimensionsActual

From the top of a tower 19.6 ~m high, a ball is thrown horizontally. If the line joining the point of projection to the point where it hits the ground makes an angle of 45^ with the horizontal, then the initial velocity of the ball is

Options

  1. A9.8 ~ms ⁻¹
  2. B4.9 ~ms ⁻¹
  3. C14.7 ~ms ⁻¹
  4. D2.8 ~ms ⁻¹

Correct answer

A. 9.8 ~ms ⁻¹

Step-by-step solution

Given that, height of tower, h=19.6 ~m Angle of line joining from point of projection to the point of ground with horizontal, aligned & =45^ In A O B, & = h R 45^ & = h R 1= h R R & =h=19.6 ~m aligned where, R be the horizontal distance. We know that, time taken to reach from point A to B , t= 2 h g By substituting the values, we get t= 2 19.6 9.8 =2 ~s Now, Horizontal distance = Horizontal velocity Time aligned & R=u t & 19.6=u 2 & aligned [By substituting the values of R and t , we get] Initial velocity, u=9.8 ~m

Practice Motion in Two Dimensions on Quantrex Academy →

More from Motion in Two Dimensions

A boy, standing at a certain height, kicks a football horizontally with a velocity of 19.6 ms⁻¹ . What will be the ratio of horizontal and vertical components of velocities after 2 2026From the same point, two stones A and B are thrown simultaneously, A is thrown up vertically with a velocity of 10 ms⁻¹ and B is thrown up with the same velocity at 30^ with the ho 2026Two bodies are projected with the same velocity. If one is projected at an angle of 30^ and the other at 45^ to the horizontal, then the ratio of maximum heights attained is 2026If two bodies A and B are projected with same velocity but with different angles ₁ and ₂ respectively with the horizontal such that both will have same range, then the ratio of tim 2025If the horizontal range of a body projected with a velocity ' u ' is 3 times the maximum height reached by it, then the range of the body is (g - acceleration due to gravity) 2025If the velocity at the maximum height of a projectile projected at an angle of 45^ is 20 ~m ~s ⁻¹ , then the maximum height reached by the projectile is (Acceleration due to gravit 2025If the range of a body projected with a velocity of 60 ~m ~s ⁻¹ is 180 3 ~m , then the angle of projection of the body is (Acceleration due to gravity =10 ~m ~s ⁻² ) 2025If the height of a projectile at a time of 2 s from the beginning of motion is 60 m, then the time of flight of the projectile is (Acceleration due to gravity =10 ~m ~s ⁻² ) 2025 Full Motion in Two Dimensions list All AP EAMCET PYQs