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 answer↓
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! 🙂