A soccer ball is released from rest at the top of a grassy incline. After 8.6 seconds, the ball travels 87 meters and 1.0 s after this, the ball reaches the bottom of the incline. What was the magnitude of the ball's acceleration, assume it to be constant

Respuesta :

Answer: The ball's acceleration is 2.35 m/s2

Explanation: Please see the attachment below

Ver imagen Abdulazeez10

Answer:

The acceleration is  [tex]a= 2.4 \ m/s^2[/tex]

Explanation:

From the question we are told that

   The distance covered is  [tex]d = 87 \ m[/tex]

    The time taken is  [tex]t = 8.6 \ s[/tex]

    Time taken reach the bottom is  [tex]t_b = 1 \ s[/tex]

 According to the equation of motion

           [tex]S = ut + \frac{1}{2} at^2[/tex]

since the ball started at rest u =  0 m/s  

     substituting values

    [tex]87 = 0 + \frac{1}{2} * a * (8.6)^2[/tex]

=>     [tex]a = \frac{2 * 87}{8.6^2}[/tex]

=>      [tex]a= 2.4 \ m/s^2[/tex]