7. A monkey freefalls for 17.5 seconds. (a) What was the velocity after this time? (b) How far did it fall?

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.

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:

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.

where:

y = distance traveled [m]

can be answered using momentum.

momentum = p

p1= mass1 * velocity1

p1 = p2

therefore

p1 = 6kg * 4m/s

p1 = 24kgm/s

p2=m2 * v2

24 kgm/s = 7kg * v2

v2 = 24 kgm/s / 7kg

v2= 3.42 m/s