steriligphysies Hw Chapter 2- Google Chrome Secure https://session materingphysi
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steriligphysies Hw Chapter 2- Google Chrome Secure https://session materingphysics.com/myct/itemView?assignmentProblemiD-92006281 HW Chapter 2 Problem 2.63 18 Constants A ball starts from rest and rolls down a hill with uniform acceleration, traveling 160 m during the second 52 s of its motion. Part A How far did it roll during the first 5.2 s of motion? Express your answer to two significant figures and include the appropriate units 29 2.31 2.34 2.62 d Value Units 2.63 Submit n2.67 m 2.75 m 2 76 Provide Feedback m 2.78 em 2.79 em 2 68 2 86Explanation / Answer
The body starts from rest( inital velocity = 0 ), and accelerates for 10.4 seconds [ first 5.2 sec + 2nd 5.2 sec ]
for First 5.2 sec,
final velocity = u + a (5.2)
= 0 + 5.2 a
final velocity = 5.2 a, this is also initial velocity for 2nd 5.2 seconds
for total 10.4s
final velocity = 0+ 10.4 a
v= 10.4a
for 2nd 5.2 sec
initial velocity = final velocity of first 5.2s = 5.2 a
final velocity = 10.4a
distance travelled (s)= 160m( given)
by equation, v^2 = u^2 + 2 * a s
(10.4a)^2 = (5.2a)^2 + 2 *a*160
on solving,
a = 2 * 160 / ( 3 * 5.2^2)
= 3.944 m/s^2
Now , for first 5.2 s
distance = ut+1/2at^2
= 0+ 1/2 * (3.944) * (5.2)^2
= 53.32 m
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