Answer:
1.57 s
Explanation:
From Newton's equation of motion.
v = u + gt............. Equation 1
Where v = final velocity, u = initial velocity, g = acceleration due to gravity, t = time taken for the bowling pin to reach the maximum height.
Given: v = 0 m/s ( The pin is being thrown up), u = 7.7 m/s, g = - 9.81 m/s² ( against air resistant)
Substituting into equation 1
0 = -7.7 + (-9.81t)
9.81t = 7.7
t = 7.7/9.81
t = 0.785 s.
Note:Time taken for the pin to return to the juggler's hand is doubled the time taken to reach the maximum height
T = 2t
T = 2(0.785)
T = 1.57 s.
Hence the time taken for the pin to returns to the juggler's hand = 1.57 s
