From t=0 tot = 3.46 min, a man stands still, and from t = 3.46 min to t = 6.92 min, he walks briskly in a straight line at a constant speed of 2.09 m/s. What are (a) his average velocity Vag and (b) his average acceleration dag in the time interval 1.00 min to 4.46 min? What are (c) Vavg and (d) avg in the time interval 2.00 min to 5.46 min?

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From t=0 tot 3.46 min, a man stands still, and from t = 3.46 min to t = 6.92 min, he walks briskly in a straight line at a constant speed
of 2.09 m/s. What are (a) his average velocity Vag and (b) his average acceleration og in the time interval 1.00 min to 4.46 min? What
are (c) va and (daag in the time interval 2.00 min to 5.46 min?
(a) Number
(b) Number i
(c) Number i
(d) Number
Units m/s
H
!Units m/s^2
Units m/s
!Units m/s^2
The tolerance for answers is
1 in the 3rd significant digit.
V
V
V
Transcribed Image Text:From t=0 tot 3.46 min, a man stands still, and from t = 3.46 min to t = 6.92 min, he walks briskly in a straight line at a constant speed of 2.09 m/s. What are (a) his average velocity Vag and (b) his average acceleration og in the time interval 1.00 min to 4.46 min? What are (c) va and (daag in the time interval 2.00 min to 5.46 min? (a) Number (b) Number i (c) Number i (d) Number Units m/s H !Units m/s^2 Units m/s !Units m/s^2 The tolerance for answers is 1 in the 3rd significant digit. V V V
We are given velocities at various intervals of time. On one interval object is at rest. On other, the object is moving at constant
speed.
The average acceleration is given as
change in velocity
davg =
time taken
We use this to find average acceleration.
Calculations:
Part a)
Time interval is
t = 1 to 4. 46 mins
The constant velocity is v= 2.09m/s acts from t = 3.46 to 4. 46 mins in our interval.
Hence displacement is
s=vx (4.46 3.46) × 60
s = 2.09 x 60
s = 125.4 m
Hence average velocity is
d
Vavg
4.46-1
=
125.4
Vavg 3.46x60
=
Vavg = 0.604 m/s
Hence average velocity is 0.604 m/s.
Part b)
Initial velocity isu = 0
Average acceleration is
v-u
davg 4.46-1
2.09
davg
= 3.46x60
davg
= 0.01 m/s²
Average acceleration is 0.01 m/s².
=
Part c)
Time interval is
t=2 to 5. 46 mins
The constant velocity is v= 2.09m/s acts from t = 3.46 to 5. 46 mins in our interval.
Hence displacement is
svx (4.46 - 3.46) × 60
s = 2.09 x 60 × 2
s = 250.8 m
Hence average velocity is
d
Vavg =
5.46-2
Vavg
Vavg
Hence average velocity is 1.208 m/s.
250.8
3.46x60
1.208 m/s
Transcribed Image Text:We are given velocities at various intervals of time. On one interval object is at rest. On other, the object is moving at constant speed. The average acceleration is given as change in velocity davg = time taken We use this to find average acceleration. Calculations: Part a) Time interval is t = 1 to 4. 46 mins The constant velocity is v= 2.09m/s acts from t = 3.46 to 4. 46 mins in our interval. Hence displacement is s=vx (4.46 3.46) × 60 s = 2.09 x 60 s = 125.4 m Hence average velocity is d Vavg 4.46-1 = 125.4 Vavg 3.46x60 = Vavg = 0.604 m/s Hence average velocity is 0.604 m/s. Part b) Initial velocity isu = 0 Average acceleration is v-u davg 4.46-1 2.09 davg = 3.46x60 davg = 0.01 m/s² Average acceleration is 0.01 m/s². = Part c) Time interval is t=2 to 5. 46 mins The constant velocity is v= 2.09m/s acts from t = 3.46 to 5. 46 mins in our interval. Hence displacement is svx (4.46 - 3.46) × 60 s = 2.09 x 60 × 2 s = 250.8 m Hence average velocity is d Vavg = 5.46-2 Vavg Vavg Hence average velocity is 1.208 m/s. 250.8 3.46x60 1.208 m/s
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