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Motion Lessons
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Post a LessonAnswered on 18/04/2024 Learn CBSE/Class 9/Science/Unit 3-Motion, Force and Work/Motion
Nazia Khanum
Solution:
Given Data:
Conversion: To perform calculations, we need to convert velocities from km/h to m/s.
Conversion: 1 km/h = 13.63.61 m/s
Converting Initial Velocity: u=54 km/h×13.6=15 m/su=54km/h×3.61=15m/s
Converting Final Velocity: v=72 km/h×13.6=20 m/sv=72km/h×3.61=20m/s
Formula: a=v−uta=tv−u
Substituting Values: a=20 m/s−15 m/s10 sa=10s20m/s−15m/s
Calculation: a=5 m/s10 s=0.5 m/s2a=10s5m/s=0.5m/s2
Formula: s=ut+12at2s=ut+21at2
Substituting Values: s=(15 m/s×10 s)+12×0.5 m/s2×(10 s)2s=(15m/s×10s)+21×0.5m/s2×(10s)2
Calculation: s=(150 m)+0.5×5×100=150+250=400 ms=(150m)+0.5×5×100=150+250=400m
Answer: (i) Acceleration a=0.5 m/s2a=0.5m/s2 (ii) Distance Covered s=400 ms=400m
Therefore, the bus accelerates at 0.5 m/s20.5m/s2 and covers a distance of 400 m400m during this interval.
Answered on 18/04/2024 Learn CBSE/Class 9/Science/Unit 3-Motion, Force and Work/Motion
Nazia Khanum
Given Information:
Step 1: Calculate the total distance traveled
Total distance = 15 km+25 km+80 km=120 km15km+25km+80km=120km
Step 2: Calculate the total time taken
Total time taken = 0.5 h+1 h+2 h=3.5 h0.5h+1h+2h=3.5h
Step 3: Calculate the average speed
Average speed = Total distance / Total time taken
Average speed = 120 km/3.5 h=34.29 km/h120km/3.5h=34.29km/h
Step 4: Final Answer
Therefore, the average speed of the car is 34.29 km/h34.29km/h.
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