An object moves in along the x-axis with an acceleration given by: a = 5t (m/s2). The position of the object at t=0.0 is 6 m, and its velocity at t=0.0 s is 4 m/s. Calculate the position at t=5 s.

The position of the object at is 130.167 meters.

Explanation:

Let the acceleration experimented by the object along the x-axis. We obtain the equation for the position of the object by integrating in acceleration formula twice:

Velocity

(1)

(2)

Where is the initial velocity of the object, measured in meters per second.

Position

(3)

(4)

Where is the initial position of the object, measured in meters per second.

If we know that , and , then the position of the object is:

The position of the object at is 130.167 meters.