# calculus

posted by Anonymous

3:For an object whose velocity in ft/sec is given by v(t) = −2t^2 + 4, what is its distance travelled, in feet, on the interval t = 0 to t = 2 secs?
a:4.876 b:2.667 c:9.752 d:2.438

1. Reiny

then the distance formula is

s = (-2/3)t^3 + 4t + c, where c is a constant

at t = 0, s = c
at t = 2, s = -16/3 + 8 + c

distance in the given interval
= -16/3 + 8 + c - c
= 8/3 which is close to choice b)

2. felipe correa

^^^thats wrong

## Similar Questions

1. ### calculus

When a ball is thrown vertically upward into the air with a velocity of 79 ft/sec its height, y(t), in feet after t seconds is given by y(t) = 79t − 16t 2 . Find the average velocity of the ball over the interval from 3 to 3 …
2. ### calculus multiple choice

1.The region in the first quadrant bounded by the x-axis, the line x = ln(π), and the curve y = sin(e^x) is rotated about the x-axis. What is the volume of the generated solid?
3. ### physics

An object is dropped from a bridge.A second object is thrown downwards 2.00s later.They both reach the water 35.0m below at the same instant.What is the initial speed of the second object?
4. ### calc

For an object whose velocity in ft/sec is given by v(t) = −3t2 + 6, what is its distance travelled, in feet, on the interval t = 0 to t = 2 secs?
5. ### calculus

A flea moves along the line y = -3 according to the equation: x = t^3 - 9t^2 + 24t where x is its x coordinate at time t secs. Determine: 1) the position, velocity, and acceleration of the flea at time 3 secs. Answer: position - 3^3 …
6. ### AP Calculus AB

For an object whose velocity in ft/sec is given by v(t) = -t^2 + 6, what is its displacement, in feet, on the interval t = 0 to t = 6 secs?
7. ### Quick calc question

For an object whose velocity in ft/sec is given by v(t) = −t2 + 6, what is its displacement, in feet, on the interval t = 0 to t = 3 secs?
8. ### AP Calculus AB

2. For an object whose velocity in ft/sec is given by v(t) = -t^2 + 6, what is its displacement, in feet, on the interval t = 0 to t = 3 secs?
9. ### Math 160

The position function of an object moving along a straight line is given by s = f(t). The average velocity of the object over the time interval [a, b] is the average rate of change of f over [a, b]; its (instantaneous) velocity at …
10. ### Calculus

For an object whose velocity in ft/sec is given by v(t) = −2t^2 + 4, what is its distance travelled, in feet, on the interval t = 0 to t = 2 secs?

More Similar Questions