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N76 [4]
4 years ago
7

The position of an object moving along a straight line for

Mathematics
1 answer:
NikAS [45]4 years ago
3 0

Answer:

at 2/3 seconds

Step-by-step explanation:

S1(t) = t³ + 2

Average speed, dS1/dt = 3t²

S2(t) = t²

Average speed, dS2/dt = 2t

The distance between the objects is

dS1/dt - dS2/dt

= 3t² - 2t

The time the distance between the two object is at minimum is when the distance is 0

That is, when

3t² - 2t = 0

t(3t - 2) = 0

t = 0 or 3t - 2 = 0

t = 0 or t = 2/3

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Answer: 5t = 400-105

Step-by-step explanation:

Let t= Number of three–pointers Marissa has to average over the next 5 days to reach her goal. .

Goal = 400 three–pointers every week.

Marissa has already shot  = 105 three–pointers

Remaining shots to achieve target (5t) = Goal - (Marissa has already shot)

i.e. 5t = 400-105  (required equation)

⇒ 5t = 295

⇒ t = 59

hence, she need to make 59 shots per day for next 5 days.

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3 years ago
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Answer:

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Step-by-step explanation:

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