third time asking this so putting it in advanced physics Ple

third time asking this so putting it in advanced physics...

Please put in vector form.

+0/1 points | Previous Answers M14 2.4.023 My Notes Ask Your Teacher A soccer ball of mass 0.30 kg is rolling with velocity 0, 0, 2.0) m/s, when you kick it. Your kick delivers an impulse of magnitude 1.5 N-sin the -x direction. The net force on the rolling ball, due to the air and the grass, is 0.27 N in the direction opposite to the direction of the ball\'s momentum. Using a time step of 0.5 s, find the position of the ball at a time 1.5 s after you kick it, assuming that the b is at the origin at the moment it is kicked. Use the approximation VavgPflm. (Express your answer in vector form.) t thebalis at the orig n ain a tme step o.0.2 te F

Solution

initial velocity, vi = 0i + 0j + 2k = 2k m/s

Impulse = - 1.5 i Ns

Impulse = change in momentum

- 1.5i = m (vf - vi)

- 1.5i = 0.30(vf - 2k)

vf = -5i + 2k

this is the velocity just after kick.

directionof velocity, vcap = -5i + 2k / sqrt(5^2 + 2^2)

opposite direction = 5i - 2k / 5.4

Fext = 0.27 (5i - 2k) / 5.4

= 0.251i - 0.1k

a = Fext / m = 0.837i - 0.334k m/s^2

r = u t + a t^2 /2

r = (-5i + 2k ) (1.5) + (0.837 - 0.334)(1.5^2)/2

= -7.5i + 3k + 0.942i - 0.376k = - 6.56i + 2.62k

in vector form,

r = < -6.56, 0 , 2.62 >