A bus starts from rest with a constant acceleration of 1 m/s^2. Determine the time required for it to attain a speed of 25 m/s and the distance traveled.

#### Solution:

Show me the final answerâ†“

To figure out the time the bus traveled, we will use the following equation:

(Where v_2 is final velocity, v_1 is initial velocity, a is constant acceleration and t is time)

From the question, the following are given to us:

v_1=0 m/s

a_c=1 m/s^2

Substitute these values into our equation and solve for t.

t=25 s

To figure out the distance traveled, we will use this equation:

(Where v_2 is final velocity, v_1 is initial velocity, a_c is constant acceleration, s_2 is final displacement, and s_1 is initial displacement)

Again, we will substitute the values we know (note that s_1=0 m because the original location is our point of reference).

25^2=0+2(1)(s_2-0)

s_2=312.5 m

#### Final Answers:

Distance traveled = 312.5 m

thanks too much

You are very welcome! ðŸ™‚