This print-out should have should have 6 questions. 7. 2 m Multiple choice quest

Question

This print-out should have should have 6 questions. 7. 2 m Multiple choice questions may continue on the next column or page find all choices 8. None of these before answering. Note: speeds up uniformly" means the 9.7 m acceleration is constant 10.3 m 001 (part 1 of 2) 4.0 points A physics book is moved once around the 003 4.0 points perimeter of a table of dimensions. 1 m by 3 Suppose the position equation for a moving object is If the book ends up at its initial position, what is the magnitude of its displacement? 1.0 m where 8 is measured in meters and t is mea- sured in seconds. Find the velocity of the object when t 2. 2.4 m 1.13 m/sec 3.5 m 2.6 m/sec 4.6 m 3, 10 m/sec 5.3 m 6. None of these 4.14 m/sec 5. None of these 7.7 m 8.1 m 004 4.0 points A particle moves in a straight line with veloc- 9.2 m. ity 10.8 m If it initially starts moving from 0 (where z 0), what is its position z(t)? 002 (part 2 of 2) 4.0 points. What is the distance traveled? 1.8 m 2.5 m 3.1 m 4.6 m 5.4 m 005 (part 1 of 2) 10.0 points The initial speed of a body is 8.23 m/s. 6.0 m What is its speed after 3.25 sifit accelerates uniformly at 1.96 m/s2?

Explanation / Answer

here,

1)

as the initial and the final position of the book is same

the displacement of the book is zero 1) 0 m

2)

the distance travelled , d = perimeter of table

d = 2 * ( 3 + 1) m

d = 8 m

the distance travelled is 1) 8 m

3)

s(t) = 3 * t^2 + 2 * t + 5

differentiating the equation for velocity

v(t) = 6 * t + 2

at t = 2 s

v(2) = 6 * 2 + 2 = 14 m/s

the velocity of the obejct at t = 2 s is 4) 14 m/s

4)

v(t) = 3 * t^2 - 6 * t

integrating the equation w.r.t t

s(t) = t^3 - 3 * t^2 + C

at t = 0 , x = 0

so , C= 0

then the equation of position is 5) x(t) = t^3 - 3 * t^2

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