What is the average speed of the car from t=0 to t=5?

[tek]

What is the average speed of the car from t=0 to t=5?
A car is stopped at a traffic light and begins to move forward along a straight road when the light turns green. The distance (in feet) traveled by the car in t seconds is given by S(t)= 2t^2 for 0 ? t ? 30
what is the average speed of the car from
a. t=0 to t=5?
b.t=5 to t=10?

how do you this because i have examples but really confused

 

[stapel]

What is the average speed of the car from t=0 to t=5?
A car is stopped at a traffic light and begins to move forward along a straight road when the light turns green. The distance (in feet) traveled by the car in t seconds is given by S(t)= 2t^2 for 0 ? t ? 30
what is the average speed of the car from
a. t=0 to t=5?
b.t=5 to t=10?

This sort of exercise is customarily done with calculus, but you posted this as an algebra question, so you must have been given some other technique. Please reply with a clear explanation of what that technique is.

Thank you!

Eliz.

 

[tek]

d(t)= 16t^2

d(x+h) - d(x) = 16 (x+h)^2 - 16x^2
-------------------- ----------------------------

d(x+h) - d(x) = 16(x+h)^2 - 16x^2
------------------- -----------------------------
(x+h) - x h

= 16( x^2 + 2xh + h^2) - 16x^2 = 16x^2 + 32xh + 16h^2 - 16x^2
-------------------------------------------
h
= 32xh +16h^2 = h( 32x+16h) = 32x +16h
-------------------- --------------------
h h

average speed= 32x + 16h
x= 3 = 32(3) +16(0.1)= 96+1.6 97.6
h= 0.1

this is the example they showed

 

[skeeter]

average speed = change in distance/change in time

a. [S(5) - S(0)]/(5 - 0)

b. [S(10) - S(5)]/(10 - 5)

it's that simple.

 

[Deleted member 4993]

Re:

What is the average speed of the car from t=0 to t=5?

This sort of exercise is customarily done with calculus,

Thank you!

Eliz.

Like skeeter said:

Instantaneous speed requires calculus

Average speed is just evaluate subtract and divide - done with algebra skills.