Faith rides her bicycle with an initial velocity of 6.0 m/s for 20 seconds. She then begins to speed up with an acceleration of 0.20 m/s2 for 10 seconds. How far...

Question

Faith rides her bicycle with an initial velocity of 6.0 m/s for 20 seconds. She then begins to speed up with an acceleration of 0.20 m/s² for 10 seconds. How far does Faith travel during the 30-second interval?  (Round your answer to the nearest whole number. Do not include units in your answer.)

Answer 1

Vinidu G,

Faith rides her bicycle with an initial velocity of 6.0 m/s for 20 seconds. She then begins to speed up with an acceleration of 0.20 m/s² for 10 seconds. How far does Faith travel during the 30-second interval?  (Round your answer to the nearest whole number. Do not include units in your answer.)

You can use graph or equation to solve this problem. Graph is easier but I will use equations here.

First of all, for each segment of different acceleration, a different equation is needed

x₁= v•t =6.0•20 = 120m

then

x₂ = v_i•t + 1/2•a•t²

= 6.0•10 +1/2•0.20•(10)² = 60+10=70m

total distance is 120+70 = 190 (m)

If you need the graphical method or need further clarification, let me know.

Mr. A