Asoccer player kicks a ball from the ground with a speed of 16 m/s at an angle of 63 degrees.

a. what is the horizontal component of the velocity?

b. what is the vertical component of the velocity?

c. how long does it take the ball to reach its highest point?

d. what is the maximum height of the ball?

e. what is the total amount of time that the ball is in the air?

f. how far is the ball from the soccer player when it lands?

a) v.h=v*cos(63)=7.26 m/s

b) v.v=v*sin(63)=14.26 m/s

c) t=v.v/g=14.26/9.8=1.46 s since time the body takes to go upward is defined by the acceleration due to gravity and the vertical component of the speed

d) h=1/2*gt^2=7.15 m

e) T=2t=2.92 s

f) R=v.h*t=7.26*1.46=10.6 m since horizontal displacement is defined by the horizontal component of the speed only.

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