Accelerated motion problems

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					Accelerated motion problems 1)
A rock falls from rest, with constant acceleration 10 m/s2. The acceleration is constant, i.e. air friction is negligible in this case. (a) What will be its velocity after 3 s of fall? and (b) How far will it fall in 3 s? A. arithmetic method a) a = 10 m/s/s means that the rock gains velocity by _________ (______) in each second. (number) (units)  in 3 s of fall, it gains in velocity ______ m/s  since it starts from rest, its final velocity is ______ m/s b) The velocity grows from ______ m/s at t=0 to  the average velocity is .5*(______+______) or  distance travelled, with this average velocity, in 3s is vavet or ______ m/s * _____ s = ________ (_____) B. algebraic method a) The acceleration, a= 10 m/s/s, time t=3s, and vo=0 m/s. Substituting into v = vo + at yields the final velocity v = ______ + _____ * ______ = _____ (______) b) Substituting into x = vot + .5at2 yields ______ * ______ + 0.5 * ______ * (______)^2 = ______ (______) ______ m/s ______ m/s

2)

A ball is thrown downward, and released with velocity 20 m/s, to fall freely from the instant the clock is started (again friction is negligible). (a) What will be its velocity after 3 s? and (b) How far will it fall in 3 s? A. arithmetic method a) a = 10 m/s/s means that the rock gains velocity by ___________ (______) in each second.  in 3 s of fall, it gains in velocity ______ m/s  since it starts from 20 m/s, its final velocity is ______ m/s b) The velocity grows from ______ m/s at t=0 to ______ m/s at t=3s.  the average velocity is .5*(______ + ______) or  distance traveled, with this average velocity, in 3s is vavet or ______ m/s * ______ s = ________ (______) B. algebraic method a) The acceleration, a=10 m/s/s, time t=3s, and vo=20 m/s. Substituting into v = vo + at yields the final velocity v = ______ + ______ * ______ = ______ (__m/s____) b) Substituting into x = vot + .5at2 yields ______ * ______ + 0.5 * ______ * (______)^2 = ______ (______) ______ m/s

3)

A ball is thrown upward, and released with velocity 8 m/s, to fall freely from the instant the clock is started (again friction is negligible). (a) What will be its velocity after 3 s? and (b) Where will it be in 3 s? A. arithmetic method (Define downward to be the positive direction). a) a = 10 m/s/s means that the rock gains velocity by ___________ (______) in each second.  in 3 s of fall, it gains in velocity ______ m/s  since it starts at -8 m/s, its final velocity is ______ m/s b) The velocity grows from ______ m/s at t=0 to ______ m/s at t=3s.  the average velocity is .5*(______ + ______) or  distance travelled, with this average velocity, in 3s is vavet or ______ m/s * ______ s = ________ (______) B. algebraic method a) The acceleration, a=10 m/s/s, time t=3s, and vo= -8 m/s. Substituting into v = vo + at yields the final velocity v = ______ + ______ * ______ = ______ (______) b) Substituting into x = vot + .5at2 yields ______ * ______ + 0.5 * ______ * (______)^2 = ______ (______) ______ m/s

4)

An arrow is shot at 30 m/s straight up at a bird perched 20 m above the ground. How long does the bird have to live after the arrow is fired? Let’s decide to make up positive this time, then: vo
=

__________ (_________)

and

a = __________ (_________)

and then plug into x = vot + .5at2 to solve for time t. You will have to use the quadratic equation which will give you two solutions for t. What do BOTH solutions mean?


				
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Lingjuan Ma Lingjuan Ma
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