Answer:
a ) Vf = 171.7 [m/s]
b) y = 1502.6[m]
Explanation:
a) To solve this problem we must use the following equation of kinematics.
[tex]v_{f}=v_{o}+g*t[/tex]
where:
Vf = final velocity [m/s]
Vo = initial velocity = 0 (freefall, without initial velocity)
g = gravity acceleration = 9.81 [m/s²]
t = time = 17.5 [s]
Now replacing:
[tex]v_{f} = 0 + 9.81*17.5\\v_{f} = 171.7[m/s][/tex]
Note: The gravity acceleration is positive, since the monkey is moving in the direction of the gravity acceleration.
b)
Now using another equation of kinematics we can calculate the distance traveled.
[tex]v_{f}^{2}=v_{o}^{2}+2*g*y[/tex]
where:
y = distance traveled [m]
[tex]171.7^{2}=0 +2*9.81*y\\y=29480.9/(2*9.81)\\y=1502.6[m][/tex]
