  A speedboat increases its speed uniformly from vi = 20.0 m/s to vf = 33.0 m/s in a distance of Δx = 2.40 ✕ 102 m.vf2 = vi2 + 2a(Δx)a) solve the equation above symbolically for the boat's acceleration in terms of vf, vi, and Δx.b) Substitute given values, obtaining the acceleration.c) Find the time it takes the boat to travel the given distance.

Question

A speedboat increases its speed uniformly from vi = 20.0 m/s to vf = 33.0 m/s in a distance of Δx = 2.40 ✕ 102 m.

vf2 = vi2 + 2a(Δx)
a) solve the equation above symbolically for the boat's acceleration in terms of vf, vi, and Δx.
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

Step 3

b)

Substituting the...

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Kinematics 