Answer:
$289 I think
Step-by-step explanation:
$289 I think
sorry if I am wrong
For this case we have the following conversion of units:
Thus, applying the conversion of units we have:
Then, the distance traveled for 5 seconds is given by:
Answer:
he has completed 52 meters of the 80-meter race
Setting
, you have
. Then the integral becomes
Now,
in general. But since we want our substitution
to be invertible, we are tacitly assuming that we're working over a restricted domain. In particular, this means
, which implies that
, or equivalently that
. Over this domain,
, so
.
Long story short, this allows us to go from
to
Computing the remaining integral isn't difficult. Expand the numerator with the Pythagorean identity to get
Then integrate term-by-term to get
Now undo the substitution to get the antiderivative back in terms of
.
and using basic trigonometric properties (e.g. Pythagorean theorem) this reduces to