Consider a mass initially moving at 7.50 m/s. how does it take to move 3.5 km (be sure to convert to meters) if it accelerates at .550 m/s^2.?show your work.

The mass is moving by uniformly accelerated motion, with initial velocity  and acceleration . Its position at time t is given by the following law:

where we take the initial position  since we are only interested in the distance traveled by the mass.

If we put  into the equation, the corresponding time t is the time it takes for the mass to travel this distance:


And the two solutions for the equation are:
--> negative, we can discard it
--> this is the solution to our problem