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Anestetic [448]
3 years ago
7

A car is moving with speed 60 m/s and acceleration 4 m/s2 at a given instant. (a) using a second-degree taylor polynomial, estim

ate how far the car moves in the next second. m (b) would it be reasonable to use this polynomial to estimate the distance traveled during the next minute? yes no
Physics
1 answer:
pantera1 [17]3 years ago
6 0

Answer:

Explanation:

Using second degree taylor polynomials

let S(t) be position function and set S(0)=0

where S(0) is the initial position

Then v(t) = S^i(t) and a(t)=S^{ii}(t)

we have v(0) = 60m/s, a(0) = 4m/s^2

so T_{2}(t) =S(0)+v(0)t+\frac{a(0)}{2} t^2\\\\\\=0+60t+\frac{4}{2} t^2\\\\T_{2}(t)=60t+2t^2\\\\S(1)=T_{2}(1)=60+2=62m

b.) yes

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Answer:

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Explanation:

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a toy dart gun has a spring with k=128 N/m. a kid pulls back on the spring with a 8.22 N force. how far does it stretch?(unit=m)
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Answer:

0.064 m

Explanation:

When a spring is stretched/compressed, the force exerted in the spring is related to the elongation of the spring by the equation:

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In this problem, we have:

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Solving for x, we find how far the spring stretches:

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