For the following exercises, use the model for the period of a pendulum, T , such that T = 2 π L g , where the length of the pendulum is L and the acceleration due to gravity is g . 46. If the acceleration due to gravity is 9.8 m / s 2 and the period equals 1 s, find the length to the nearest cm ( 100 c m = 1 m ) .
For the following exercises, use the model for the period of a pendulum, T , such that T = 2 π L g , where the length of the pendulum is L and the acceleration due to gravity is g . 46. If the acceleration due to gravity is 9.8 m / s 2 and the period equals 1 s, find the length to the nearest cm ( 100 c m = 1 m ) .
For the following exercises, use the model for the period of a pendulum, T, such that
T
=
2
π
L
g
, where the length of the pendulum is L and the acceleration due to gravity is g.
46. If the acceleration due to gravity is
9.8
m
/
s
2
and the period equals 1 s, find the length to the nearest cm
(
100
c
m
=
1
m
)
.
An object is dropped from a tower, 182 ft above the ground. The object's height above ground t sec into the fall is s = 182 – 162.
a. What is the object's velocity, speed, and acceleration at time t?
b. About how long does it take the object to hit the ground?
c. What is the object's velocity at the moment of impact?
.....
The object's velocity at time t is
The object's speed at time t is ft/sec.
The object's acceleration at time t is ft/sec².
(Simplify your answer.)
It takes sec for the object to hit the ground.
(Round to the nearest tenth.)
The object's velocity at the moment of impact is ft/sec.
(Round to the nearest tenth.)
Assume the acceleration of the object is a(t) = -32 feet per second per second. (Neglect air resistance.)
A ball is thrown vertically upward from a height of 5 feet with an initial velocity of 82 feet per second. How high will the ball go? (Round your answer to two decimal places.)
ft
An object is dropped from a tower, 157 ft above the ground. The object's height above ground t sec into the fall is s=157-161².
a. What is the object's velocity, speed, and acceleration at time t?
b. About how long does it take the object to hit the ground?
c. What is the object's velocity at the moment of impact?
The object's velocity at time t is
...
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