In 2012, Katie had 74
1 answer:
Answer:
Rate of change is increase of 51 followers per year.
Step-by-step explanation:
Given:
Number of followers in 2012 = 74
Number of followers in 2015 = 227
Therefore, increase in followers = 227 - 74 = 153
Duration for the change = 2015 - 2012 = 3 years
Rate of change of followers is given as:
Therefore, rate of change is increase of 51 followers per year.
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Answer:
1,809.98 lb*m/s^2
Step-by-step explanation:
First, we want to know how much weight of the boulder is projected along the path in which the boulder can move.
The weight of the boulder is:
W = 322lb*9.8 m/s^2 = (3,155.6 lb*m/s^2)
This weight has a direction that is vertical, pointing downwards.
Now, we know that the angle of the hill is 35°
The angle that makes the direction of the weight and this angle, is:
(90° - 35°)
(A rough sketch of this situation can be seen in the image below)
Then we need to project the weight over this direction, and that will be given by:
P = W*cos(90° - 35°) = (3,155.6 lb*m/s^2)*cos(55°) = 1,809.98 lb*m/s^2
This is the force that Samuel needs to exert on the boulder if he wants the boulder to not roll down.
