Question

Find the distance, in meters, a particle travels in its first 10 seconds of travel, if it moves according to the velocity equation v(t)= 49 - 9.8t (in meters/sec).

Answer 1

245

Explanation:

Answer 2

Answer: 245 meters

Explanation:

Use definite integral to find the position value. Since the derivative of a position function gives you the velocity function, the antiderivative (the integral) should get you the position function from a velocity function. The absolute value is there to prevent any negative values from coming, as can't be a negative distance.

`\int\ \, dx` gives you

`4.9*(x-5)*|x-5|`

Evaluate the function at the limits.

doing so gives 245 meters