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).

245 meters

Step-by-step 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.  

gives you

Evaluate the function at the limits.

doing so gives 245 meters

lol.

it's ok we all do this sometimes.

-aparri