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course Phy 201

ProblemDo the following: 

• Make up a problem for situation # 10, and solve it using direct reasoning.  

• Accompany your solution with an explanation of the meaning of each step and with a flow diagram. 

• Then solve the same problem using the equations of uniformly accelerated motion.

• Make up a problem for situation # 8, and solve it using the equations of uniformly accelerated motion.

10

If a book is dropped from 20 feet in the air and takes 10 s to reach the ground, what was its initial and final velocity?

gravity = 32.2 ft/sec^2

ds = V0 * dt + 1/2 a * dt^2

20 ft = V0 * 10s + 1/2 32/2 ft/s^2 * (10s)^2

20 ft = V0 * 10s + 1610 ft

V0 = -159 ft/sec

Vf = V0 *+ a *dt

Vf = -159 ft/s + 32.2 ft/s^2 * 10 s

Vf = -159 ft/s + 322 ft/s

Vf = 163 ft/s

8

If a car accelerates 10 m/s^2 and reaches a vf of 15 m/s in 300 m, how long would it take to reach vf?

vf = v0 + a * dt

15 m/s = 0 + 10 m/s^2 * x s

15 m/s = 10 m/s * x

x = 1.5 s

???? I am confused by this last section."

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Good on the first problem.

On the last problem you know vf, a and `ds. Use the fourth equation of motion to find vf. Then figure out the required `dt.

Alternatively you could use the third equation of motion and solve for `dt. The equation is quadratic in `dt, so the fourth equation might be easier to interpret.

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