Answer:
The data we have is:
The acceleration is 3.2 m/s^2 for 14 seconds
Initial velocity = 5.1 m/s
initial position = 0m
Then:
A(t) = 3.2m/s^2
To have the velocity, we integrate over time, and the constant of integration will be equal to the initial velocity.
V(t) = (3.2m/s^2)*t + 5.1 m/s
To have the position equation, we integrate again over time, and now the constant of integration will be the initial position (that is zero)
P(t) = (1/2)*(3.2 m/s^2)*t^2 + 5.1m/s*t
Now, the final position refers to the position when the car stops accelerating, this is at t = 14s.
P(14s) = (1/2)*(3.2 m/s^2)*(14s)^2 + 5.1m/s*14s = 385m
So the final position is 385 meters ahead the initial position.
Answer:
5n+8
4 times the quantity of a number and six
Step-by-step explanation:
8 more than 5 times a number
more than comes after
5 time a number
5n
8 more than
5n+8
4(n + 6)
4 times the quantity of a number and six
Hope this helps. :D
(Please mark as brainliest thanks)
Answer:
The perimeter is 38 but it gets rounded to 40
Step-by-step explanation:
Answer: It provides a total brain workout.” Research has shown that listening to music can reduce anxiety, blood pressure, and pain as well as improve sleep quality, mood, mental alertness, and memory.