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Complete the Following Table:

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प्रश्न

Complete the following table:

Car Model Driver X
Reaction time 0.20 s
Driver Y
Reaction time 0.30 s
A (deceleration on hard braking = 6.0 m/s2) Speed = 54 km/h
Braking distance
a = ............
Total stopping distance
b = ............
Speed = 72 km/h
Braking distance
= ...........
Total stopping distance
d = ............
B (deceleration on hard braking = 7.5 m/s2) Speed = 54 km/h
Breaking distance
e = ...........
Total stopping distance
f = ............
Speed 72 km/h
Braking distance
g = .............
Total stopping distance
h = ............

 

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उत्तर

Braking distance: Distance travelled after the brakes are applied.
Total stopping distance = Braking distance + Distance travelled in the reaction time

Case A:
Deceleration = 6.0 m/s2
For driver X:
Initial velocity, u = 54 km/h = 15 m/s
Final velocity, v = 0
Braking distance, 

\[a = \frac{0^2 - {15}^2}{2\left( - 6 \right)} \approx 19 \text{ m } \]

Distance travelled in the reaction time = 15 × 0.20 = 3 m
Total stopping distance, b = 19 + 3 = 22 m
For driver Y:
Initial velocity, u = 72 km/h = 20 m/s
Final velocity, v = 0
Braking distance,

\[a = \frac{0^2 - {20}^2}{2\left( - 6 \right)} \approx 33 \text{ m } \]
Distance travelled in the reaction time = 20 × 0.30 = 6 m
Total stopping distance, d = 33 + 6 = 39 m

Case B:
Deceleration = 6.0 m/s2
Now, we have:
e = 15 m
f = 18 m
g = 27 m
h = 33 m
Car Model Driver X
Reaction Time = 0.20 s
Driver Y
Reaction Time = 0.30 s
A (deceleration on hard braking = 6.0 m/s2) Speed = 54 km/h
Braking distance, a = 19 m
Total stopping distance,
b = 22 m
Speed = 72 km/h
Braking distance,
= 33 m
Total stopping distance,
d = 39 m
B (deceleration on hard braking = 7.5 m/s2) Speed = 54 km/h
Breaking distance, e = 15 m
Total stopping distance,
f = 18 m
Speed = 72 km/h
Braking distance,
g = 27 m
Total stopping distance,
h = 33 m
 

 

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अध्याय 3: Rest and Motion: Kinematics - Exercise [पृष्ठ ५२]

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एचसी वर्मा Concepts of Physics Volume 1 and 2 [English]
अध्याय 3 Rest and Motion: Kinematics
Exercise | Q 20 | पृष्ठ ५२

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