Given the position function <em>s(t)</em>, you can get the acceleration function by differentiating <em>s</em> twice:
velocity = <em>s'(t)</em> = -5 sin(<em>t </em>) + 3 cos(3<em>t</em> )
acceleration = <em>s''(t)</em> = -5 cos(<em>t</em> ) - 9 sin(3<em>t</em> )
Then when <em>t</em> = <em>π</em>, the particle's acceleration is
<em>s''(π)</em> = -5 cos(<em>π</em>) - 9 sin(3<em>π</em>)
… = -5 • (-1) - 9 • 0 = 5
Answer:
y=1/2x
Step-by-step explanation:
Look at the graph, all you need is the first point.
Y is at 4 and X is at 2. We can divide y/x to get 4/2=1/2x
Answer:
36.9 m
Step-by-step explanation:
h(t) = -4.9t² + 25t + 6
At t = 3:
h(3) = -4.9(3)² + 25(3) + 6
h(3) = -44.1 + 75 + 6
h(3) = 36.9
After 3 seconds, the ball will have a height of 36.9 meters.
Answer:
5.8 gallons in tub
Step-by-step explanation:
6.04-.24=5.8
The probability that 2 men are selected is 49/144
Probability is the likelihood or chance that an event will occur.
If 7 men and 5 women have applied for job, the total number of people that applied will be 12 people
- Pr(2 men are selected) = 7/12 * 7/12
- Pr(2 men are selected) = 49/144
Hence the probability that 2 men are selected is 49/144
Learn more on probabaility here:brainly.com/question/24756209
