Answer:
a)y=-131.47 m :if the coordinate system is taken at the pinnacle of the building with positive direction taken to be upward direction.
b)v=-50.764m/s:The minus sign indicates the direction of the speed that is down
Explanation:
Conceptual analysis
We apply the free fall formula for position (y) and speed (v) at any time (t).
y = v₀*t +½ g*t² Equation 1
v=v₀+g*t Equation 2
y: The vertical distance the ball moves at time t
v₀: Initial speed in m/s
g= acceleration due to gravity in m/s²
v= Speed the ball moves at time t
Known information
v₀=0
t=5.18 s
g=9.8 m/s²
Development of problem
a)We replace t in the equations (1) to y(5.18s) :
y =o+½ *9.8*5.18² =131.47m
y=-131.47 m :if the coordinate system is taken at the pinnacle of the building with positive direction taken to be upward direction
b)We replace t in the equations (2) to v(5.18s) :
v=o+9.8*5.18=50.764m/s
v=-50.764m/s:The minus sign indicates the direction of the speed that is down
