In a soccer game a midfielder kicks the ball from one touchline directly toward
ID: 1560410 • Letter: I
Question
In a soccer game a midfielder kicks the ball from one touchline directly toward the other with a velocity of (13.6 m/s)x cap. After the ball travels for 2.40 s, a striker makes an acrobatic kick that gives the ball a new velocity in the y cap direction, and after 0.930 s the ball passes the diving goalkeeper and goes into the net. Part A If the total displacement of the ball is 40.1 m at 29.5 degree above the x axis, with what speed did the striker kick the ball? Express your answer to three significant figures and include appropriate units.Explanation / Answer
Given
midle fielder kicks the ball with 13.6 m/s ,about 2.4 s along x direction and
striker kicks the ball with v m/s about 0.93 s , along y direction reaches the goal
and total displacement is 40.1 m and the angle made by the ball with x axis is 29.5 degrees
from the given situation equating the components of the vectors as
40.1 cos 29.2 i + 40.1 sin 29.5 j = 13.6*2.4 i + vy*0.93 j
vy*0.93 = 40.1sin29.5
vy = 21.232 m/s
the speed with which the striker kicks the ball is vy = 21.232 m/s