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snow_lady [41]
3 years ago
10

A baseball player throws a ball from second base to home plate. How far does the player throw the ball?

Mathematics
1 answer:
Fynjy0 [20]3 years ago
6 0

Answer:

The player throws 127.3 ft from second base to home plate.

Step-by-step explanation:

Given:

Distance from home to first base = 90 ft

Distance from first base to second base = 90 ft

We need to find the distance from second base to home.

Solution:

Now we can assume the complete scenario to be formed as a right angled triangle with two sides given and to find the third side.

Now by using Pythagoras theorem which states that;

Square of the hypotenuse side is equal to sum of squares of other two sides.

framing in equation form we get;

distance from second base to home = \sqrt{90^2+90^2}= 127.27 \ ft

Rounding to nearest tent we get;

distance from second base to home = 127.3 ft

Hence The player throws 127.3 ft from second base to home plate.

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Answer:

(a) 2 feet.

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Step-by-step explanation:

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(b). For distance we need to integrate the absolute value of the velocity function.

\int\limits^b_a |{v(t)|} \, dt

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Since square root is not defined for negative numbers, so our integral would be \int\limits^4_1 {\frac{1}{\sqrt{t}}} \, dt.

We already figured out that the value of \int\limits^4_1 {\frac{1}{\sqrt{t}}} \, dt is 2 feet, therefore, the total distance over the interval 1\leq t\leq 4 would be 2 feet.

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