25. At the end of a race, a runner decelerates from a velocity of 9.00 mathrm{~m} / mathrm{s} at a rate of 2.00 mathrm{~m} / mathrm{s}^{2}. (a) How far does she travel in the next 5.00 mathrm{~s} ? (b) What is her final velocity? (c) Evaluate the result. Does it make sense?

Question

Accepted Answer

Step:1 ：(v_{0} = 9.00 mathrm{~m} / mathrm{s})Step:2 ：(a = -2.00 mathrm{~m} / mathrm{s}^{2})Step:3 ：(t = 5.00 mathrm{~s})Step:4 ：(v_{f} = v_{0} + at = 9.00 - 2.00 times 5.00 = boxed{1.00} mathrm{~m} / mathrm{s})Step:5 ：(d = v_{0}t + frac{1}{2}at^{2} = 9.00 times 5.00 + frac{1}{2}(-2.00)(5.00)^{2} = boxed{22.50} mathrm{~m})Step:6 ：Check: (v_{f} > 0) and (d > 0), so the results make sense.

Answer

Step: 1 ：(v_{0} = 9.00 mathrm{~m} / mathrm{s})Step: 2 ：(a = -2.00 mathrm{~m} / mathrm{s}^{2})Step: 3 ：(t = 5.00 mathrm{~s})Step: 4 ：(v_{f} = v_{0} + at = 9.00 - 2.00 times 5.00 = boxed{1.00} mathrm{~m} / mathrm{s})Step: 5 ：(d = v_{0}t + frac{1}{2}at^{2} = 9.00 times 5.00 + frac{1}{2}(-2.00)(5.00)^{2} = boxed{22.50} mathrm{~m})Step: 6 ：Check: (v_{f} > 0) and (d > 0), so the results make sense.

25. At the end of a race, a runner decelerates from a velocity of $9.00 m / s$ at a rate of $2.00 m / s^{2}$ . (a) How far does she travel in the next $5.00 s$ ? (b) What is her final velocity? (c) Evaluate the result. Does it make sense?

Answer

Popular Problems

25. At the end of a race, a runner decelerates from a velocity of 9.00 m/s at a rate of 2.00 m/s2. (a) How far does she travel in the next 5.00 s ? (b) What is her final velocity? (c) Evaluate the result. Does it make sense?

Answer

Popular Problems

25. At the end of a race, a runner decelerates from a velocity of $9.00 m / s$ at a rate of $2.00 m / s^{2}$ . (a) How far does she travel in the next $5.00 s$ ? (b) What is her final velocity? (c) Evaluate the result. Does it make sense?