Projectile motion

Question

A soccer ball is kicked from the ground at an angle of 37° with an initial velocity of 28 m/s. The ball is kicked over a barrier that is 10 meters tall and located 20 meters horizontally from the point of the kick. Assume the ball is kicked in a vacuum with no air resistance.

  • Calculate the time taken for the ball to reach the barrier.
  • Determine whether the ball clears the barrier or not.
  • Find the total time of flight of the ball until it hits the ground.
  • What is the maximum height reached by the ball during its trajectory?
  • Determine the horizontal distance (range) covered by the ball when it lands on the ground.

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