Use the exact values you enter in previous answer(s) to make later calculation(s

Question

Use the exact values you enter in previous answer(s) to make later calculation(s). A barge on a still lake is moving toward a bridge at 10.0 m/s. When the bridge is 38.0 m away, the pilot slows the boat with a constant acceleration of 0.82 m/s2.

(a) Use x = x0 + v0t + 1 2 at2 to find the time it takes the barge to reach the bridge. Note that you will obtain two answers! (Enter your answers from smallest to largest.)

t1 = s

t2 = s

(b) Find the final velocity for each time using v = v0 + at.

v(t1) = m/s

v(t2) = m/s

Explanation / Answer

a)

Xo = 0 m

X = 38

a = - 0.82

Vo = 10 m/s

Using the equation

X = Xo + Vo t + (0.5) a t2

38 = 0 + 10 t + (0.5) (- 0.82) t2

t = 4.71 sec and 19.7 sec

b)

V = Vo + at

at t = 4.71 sec

V = 10 + (-0.82) (4.71) = 6.14 m/s

at t = 19.7 sec

V = 10 + (-0.82) (19.7) = - 6.14 m/s

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