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Physics projectile motion a soccer player kicks a ball from the ground into the

ID: 1405372 • Letter: P

Question

Physics projectile motion
a soccer player kicks a ball from the ground into the goal which is located 18m away on the level playing field. the ball leaves the ground at an initial speed of 17.0 m/s and at an angle above the horizontal of 25 degrees. find the ball's velocity as it enters the goal
Been stuck on this for awhile.. Physics projectile motion
a soccer player kicks a ball from the ground into the goal which is located 18m away on the level playing field. the ball leaves the ground at an initial speed of 17.0 m/s and at an angle above the horizontal of 25 degrees. find the ball's velocity as it enters the goal
Been stuck on this for awhile.. Physics projectile motion
a soccer player kicks a ball from the ground into the goal which is located 18m away on the level playing field. the ball leaves the ground at an initial speed of 17.0 m/s and at an angle above the horizontal of 25 degrees. find the ball's velocity as it enters the goal
Been stuck on this for awhile..

Explanation / Answer

here,

distance of the goal , s = 18 m

initial speed of ball , u = 17 m/s

angle above the horizontal , theta = 25 degree

ux = u * cos(theta)

ux = 17 * cos(25)

ux = 15.41 m/s

time taken by ball to enetr the goal be t

t = s/ux

t = 18/15.41

t = 1.17 s

let the vertical velocity of ball when it enetrs the goal be vy

vy = u*sin(theta) - g*t

vy = 17 * sin(25) - 9.8*1.17

vy = - 4.28 m/s

the ball velocity when it enters the goal , v = sqrt(ux^2 + vy^2)

v = 15.99 m/s

the velocity of ball as it enetrs the goal is 15.99 m/s