# Calculus

posted by .

An object with an initial position of x(0) = 3 has a velocity of v(t) =sin(t). Find its position at t =2.

• Calculus -

x(t) = -cos t + c
now you know that x(0) = 3, so plug in t=0 to find c.

Then you can use t=2 to get x(2)

• Calculus -

So the answer would be -cos(2)+4=4.416?

• Calculus -

Looks good to me.

## Similar Questions

1. ### Calculus

Give acceleration a=d^2s/dt^2,initial velocity, and initial position of a body moving on a coordinate line. Find the bodys position at time t. a=e^t v(0)=20 s(0)=5
2. ### Calculus

Give acceleration a=d^2s/dt^2,initial velocity, and initial position of a body moving on a coordinate line. Find the bodys position at time t. a=e^t v(0)=20 s(0)=5
3. ### Physics

1. What is indicated by a velocity-time graph that crosses the x-axis?
4. ### Physics

An object is thrown vetically upward with an initial velocity of 14.7 m/s.How long does it take for the object to be 9.8 m from its initial position?
5. ### physics

The position versus time for a certain object moving along the x-axis is shown. The object’s initial position is −2 m. Find the instantaneous velocity at 6 s. Answer in units of m/s
6. ### Calculus

An object has a constant acceleration of 72 feet per second squared, an initial velocity of 17 feet per second, and an initial position of 10 feet. Find the position function describing the motion of this object.
7. ### calculus

An object has a constant acceleration of 40 ft/sec^2, an initial velocity of −20 ft/sec, and an initial position of 10 ft. Find the position function, s(t), describing the motion of the object.
8. ### calc

An object has a constant acceleration of 30 ft/sec2, an initial velocity of −10 ft/sec, and an initial position of 4 ft. Find the position function, s(t), describing the motion of the object.
9. ### calculus

The position function for a particular object is s = â€“23t^2 + 65. Which of the following statements is true?