contestada

A football is kicked with an initial velocity of 10 m/s at an angle of 25 degrees. If it hits the ground 1.5s later, how many meters does it travel?

Respuesta :

The distance travelled by the ball, given the data is 7.82 m

Data obtained from the question

  • Initial velocity (u) = 10 m/s
  • Angle of projection (θ) = 25 degrees
  • Time of flight (T) = 1.5 s
  • Acceleration due to gravity (g) = 9.8 m/s²
  • Range (R) = ?

How to determine the range

The range (i.e distance) travelled by the ball can be obtained as illustrated below:

R = u²Sine(2θ) / g

R = 10² × Sine (2×25) / 9.8

R = 10² × Sine 50 / 9.8

R = 7.82 m

Thus, the distance travelled by the ball is 7.82 m

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