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Problem set solutions for physics 211, a college-level physics course offered at syracuse university during the spring 2007 semester. The solutions involve calculating average velocity and acceleration based on given data from young & freedman's 'university physics' textbook (12th edition).
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Physics 211 Spring 2007 Syracuse University Homework Problem Set 1 p.
Physics 211 Problem Set 1 Due Friday, 01/25/ Last Name:___________________________________ First Name _______________ Workshop time or section:___________________TA name or Room # ___________
Please submit your homework on this sheet. If you need more space than is available, please attach additional sheets of paper. Note that the problems in the 12th^ edition are NOT the same as in the 11th^ edition!
(a)
Average velocity:
a v e x ,
x v t
We need to apply this equation for each segment to find the time traveled in the segment. The average speed is the ratio between the distance traveled and the time elapsed.
The distance traveled is 200m+280m = 480 m.
The eastward run takes 200m/(5m/s)=40.s; the westward runs takes 280m/(4m/s)=70s⇒the average speed is 480m/110s= 4.4 m/s
b) the average velocity is
,
a v e x 110
x m v m s t s
The average velocity is directed westward.
Physics 211 Spring 2007 Syracuse University Homework Problem Set 1 p.
(a) x= x0 + vx0t + ½ at^2 = 50 cm + 2cm/s t – 0.0625 cm/s^2 t ⇒x(0)= x0 = 50 cm; vx= vx0=2.00 cm/s ax=-0.125 cm/s^2
(b) set vx=0 we get ∆t(xmax)=2.cm/s/[0.125cm/s^2 ]=16s
(c) when vx = 0 (inversion point) we have
xmax=50 cm +2 cm/s*16s -0.0625 *16^2 cm= 66 cm then we can write the equation of motion as: x=66 cm -0.0625 *t^2 cm at x=50 cm, t=16 s⇒ the turtle returns at the starting point after 16 s (to reach xmax) + 16 s (to get back where it started from) = 32 s.