#$&*
course PHY 201
2/25 8
Asst 7 Week 3 Quiz #2Determine the acceleration of an object whose velocity is initially 15 cm/s and which accelerates uniformly through a distance of 51 cm in 4.1 seconds.
Solution:
v0= 15cm/s
ds=51cm
dt=4.1s
Using ds= [(v0 +vf)/2] * dt, I solved for vf:
51cm = [(15cm/s + vf)/2] * 4.1s
51cm/4.1s = (15cm/s + vf)/2
2* (51cm / 4.1s) = 15cm/s + vf
24.88cm/s - 15cm/s = vf
9.88 cm/s = vf
To solve for acceleration, I used: vf = v0 +a *dt and solved for a:
9.88cm/s = 15cm/s + a*(4.1s)
-5.12cm/s = a(4.1s)
-5.12cm/s / 4.1s = a
-1.25cm/s^2 = a
The object accelerates at about -1.25cm/s.
`gr31
#$&*
course PHY 201
2/25 8
Asst 7 Week 3 Quiz #2Determine the acceleration of an object whose velocity is initially 15 cm/s and which accelerates uniformly through a distance of 51 cm in 4.1 seconds.
Solution:
v0= 15cm/s
ds=51cm
dt=4.1s
Using ds= [(v0 +vf)/2] * dt, I solved for vf:
51cm = [(15cm/s + vf)/2] * 4.1s
51cm/4.1s = (15cm/s + vf)/2
2* (51cm / 4.1s) = 15cm/s + vf
24.88cm/s - 15cm/s = vf
9.88 cm/s = vf
To solve for acceleration, I used: vf = v0 +a *dt and solved for a:
9.88cm/s = 15cm/s + a*(4.1s)
-5.12cm/s = a(4.1s)
-5.12cm/s / 4.1s = a
-1.25cm/s^2 = a
The object accelerates at about -1.25cm/s.
Good responses. Let me know if you have questions.