A certain freely falling object, released from rest, requires 1.50 s to travel the last 30.0 m before it hit the ground. a. Find the velocity of the object when it is 30.0 m above the ground. b. Find the total distance the object travels during the fall.

A.)

s = 30m

u = ? (initial velocity of the object)

a = 9.81 m/s^2 (accn of free fall)

t = 1.5 s

s = ut + 1/2 at^2

/[u = / frac{ S - 1/2 a t^2 }{ t }/]

/[u = / frac{ 30 - (0.5 / times 9.81 / times 1.5^2) }{ 1.5 } / ]

/[u = 12.6 m/s/]

b.)

s = ut + 1/2 a t^2

u = 0,

s = 1/2 a t^2

/[s = / frac{ 1 }{ 2 } / times a / times t ^{2}/]

/[s = / frac{ 1 }{ 2 } / times 9.81 / times / left (/frac{ 12.6 }{ 9.81 } / right) ^{2}/]

/[s = 8.0917 ... / ]

/[therfore total distance = 8.0917 + 30 = 38.0917 ... = 38.1 m / ]