Answer:
The total distance traveled by the particle is S = 30.
Step-by-step explanation:
Given that velocity,
v(t) = 2t + 1
To find the total distance travel, we integrate the velocity function, v(t), to obtain the distance function s(t), and evaluate the resulting distance at the interval given. That is at t = 0 to t = 5.
Integrating v(t) with respect to t, we have
s(t) = t² + t + C.
At t = 5
s(5) = 5² + 5 + C
= 25 + 5 + C
= 30 + C
At t = 0
S(0) = 0 + 0 + C
= C
The required distance is now
S(5) - S(0)
= 30 + C - C
= 30.
Answer:
2a^2 + 2a - 11
Step-by-step explanation:
(2a^2-5) +(-6+2a)
substitute
Answer:
2 2
4y(2y +3y - 5) - 3(2y + 3y - 5)
3 2 2
=8y + 12y - 20y - 6y - 9y + 15
3 2
=8y + 6y - 29y + 15
Step-by-step explanation:
There is a common denominator of 12 among those fractions.
