Answer:
Explanation:
a. Angular velocity,
is defined as the rate of change of position of a rotating body with respect to time. so omega,= theta/time and theta =the position angle.
-Angular velocity of the merry-go-round can thus be calculated and expressed as:
b. From a above, we know that our angular velocity is 
,we can substitute 
to find our initial velocity.
Hence the value of angular velocity at t=0 is 0.350rad/s
c. To calculate the instantaneous angular velocity at t=5.00s, we
Therefore, the instanteneous angular velocity is 1.25rad/s
d. The average angular velocity between t=0 and 2=5s is calculated as
-At t=0,
-At time t=5s, 
Therefore, the average angular velocity is calculated as
Hence the average angular velocity is 0.7rad/s
#instantenous angular velocity does not increase linearly .
I'm pretty Sure it's A. Burning fossil fuels releases energy and causes air pollution. But I could be wrong.
Answer:
8.9 seconds
Explanation:
The height of the object at time t is:
y = h + vt − 4.9t²
where h is the initial height, and v is the initial velocity.
Given h = 30 and v = 40:
y = 30 + 40t − 4.9t²
When y = 0:
0 = 30 + 40t − 4.9t²
4.9t² − 40t − 30 = 0
Solving with quadratic formula:
t = [ -(-40) ± √((-40)² − 4(4.9)(-30)) ] / 2(4.9)
t = [ 40 ± √(1600 + 588) ] / 9.8
t = 8.9
It takes 8.9 seconds for the object to land.
