In a game of darts, the dart thrower releases the dart directly at the center of the target (the "bull’s eye") with a speed of 13.0 m/s, and the dart strikes the wall, 0.23 m directly below the center of the target. How far from the wall, along the x-axis, was the dart released?

Answers

Answer 1
Answer:

Answer:2.81 m

Explanation:

Given

speed(u)=13 m/s

dart strikes 0.23 m below

i.e. vertical distance traveled by dart is 0.23 m

considering dart motion similar to Projectile

h=ut+(at^2)/(2)

0.23=0+(9.8t^2)/(2)

t=0.216 s

Horizontal distance travel by dart =u\times t

=13* 0.216=2.81 m


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Answers

First year profit: $1000*12 = $12,000
Second year profit: $12,000 * 1.06
Third year profit: $12,000 * 1.06^2
Fourth year profit: $12,000 * 1.06^3
Fith year profit: $12,000 * 1.06^4 =$15,149.72
:

In this exercise we have to use the knowledge of finance to calculate the  profits that Korey expect to make is $15,149.72.

So organizing the information given in the statement we find that:

  • average $1,000 of profit
  • 6% each year for the next 4 years

Doing these calculations we find that:

1000*12 = $12,000\n12,000 * 1.06^1\n12,000 * 1.06^2\n12,000 * 1.06^3\n12,000 * 1.06^4 =$15,149.72

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