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:
length is 7.5 and width is 4.5
Step-by-step explanation:
Its given that perimeter of the triangle is 24 units.
The condition is that length is 3 units more than the width.
l=w+3;
Formula for perimeter is 2(l+w).
so ,
2(w+w+3)=24,
2w+3=12,
w=4.5,
l=w+3=7.5
Hence for the given conditions length is 7.5 and width is 4.5.
Answer:
46,000,000 (46 million)
Step-by-step explanation:
If the number to the right (in this case the hundred thousands place) is 5 or greater then you round up.
If it was lower than 5 you would round down.
As the number in the hundred thousands place is 6, this means we can round up.
Answer:
Maggie is 5 years old
Step-by-step explanation:
3M-4+M=16
add 4 to both sides
4M=20
Divide both sides by 4
20/4 = 5
M/Maggie is 5
