Question

The soccer player stops after completing the play described above, but now notices that the ball is in position to be stolen. If she now experiences a force of 126 N to attempt to steal the ball, which is 2.00 m away from her, how long will it take her to get to the bal

Answer 1

Complete Question

The complete question is gotten from OpenStax

A soccer player starts at rest and accelerates forward, reaching a velocity of 8.00 m/s in 2.50 s ? The player’s mass is 70.0 kg, and air resistance is negligible.

The soccer player stops after completing the play described above, but now notices that the ball is in position to be stolen. If she now experiences a force of 126 N to attempt to steal the ball, which is 2.00 m away from her, how long will it take her to get to the ball

Answer:

The  time it will take is  $t = 1.4907 \ s$  

Explanation:

From the  question we are told that

    The force experienced by the player is  $F = 126 \ N$

     The distance of the ball from the player is  $d = 2.00 \ m$

      The initial velocity is  u =  0 m/s because the player stopped

From the Newton law the acceleration of the player is mathematically evaluated as

             $a = \frac{F}{m }$    [i,e  F =  ma  ]

substituting values

             $a = \frac{126}{70}$

             $a = 1.8 \ m/s^2$

Now from the equation of motion  we have that

           $s = ut + \frac{1}{2} at^2$

substituting values              

             $2.0 = 0 + \frac{1}{2} * 1.8 * t^2$

             $t = \sqrt{ \frac{2.0}{0.9} }$

            $t = 1.4907 \ s$