ms θ 2 50 sin 40 2 sin 6.6 9.8 mvstsmgs θ ° ∆ = = = 50

SPH3UW Quiz Question
Name: Solutions
A soccer ball is kicked from the ground. The ball travels at 50
m
at an angle of 40 .
s
a) How far does the ball travel?
b) When does the ball hit the ground?
c) Determine its height and its TOTAL velocity 2 seconds into flight
2
 m
50
sin 80
vi2 sin  2   s 
a) d x 

 251.2m
m
g
9.8 2
s
 m
2  50  sin  40 
2v sin  
s
b) t  i
 
 6.6s
m
g
9.8 2
s
c) Final velocity
First Horizontal velocity
m
 m
vx   50  cos  40  38.3
s
 s
Vertical Velocity at 2 seconds
v yf  vi  gt
m
m
 m

  50  sin  40    9.8 2   2 s   12.54
s 
s
 s

Now combine
2
2
m 
m
m

v   38.3    12.54   40.3
s 
s
s

Height at 2 seconds
1 2
gt
2
1
m
2
 m
  50  sin  40  2 s    9.8 2   2 s 
2
s 
 s
 44.7m
d y  v yi t 