Question

A speedboat increases its speed uniformly from v_{i} = 20.0 m/s to v_{f} = 33.0 m/s in a distance of Δx = 2.40 ✕ 10^{2} m.

v_{f}^{2} = v_{i}^{2} + 2a(Δx)

a) solve the equation above symbolically for the boat's acceleration in terms of *v*_{f}, *v*_{i}, and Δ*x*.

b) Substitute given values, obtaining the acceleration.

c) Find the time it takes the boat to travel the given distance.

Step 1

a)

The expression connecting squares of final and initial velocities, acceleration and displacement is,

Step 2

Answer: a=(v_{f}^{2}- v_{i}^{2}))/2∆x

Step 3

b)

Substituting the...

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