A motorist drives north for 35.0 min at 85 km/h and then stops for 15 min . He continues travelling north and covers 130 km in 2 hours . What is his total displacement and average velocity
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Answer:
Total Displacement : 179.3 Km
Average Velocity : 69.4 m/s
Explanation:
A.T.Q.
Let B be the place at which he stopped
Velocity from A to B, v1 : 85 km/h
Time Taken,
From A to B, t1 : 35 min = 0.58 hr
From B to C, t2 : 2 hr
Displacement,
From A to B, s1 : v1 x t1 = (85 x 0.58) Km = 49.3 Km
From B to C, s2 : 130 Km
Total Time taken : t1 + t2 = 0.58 + 2 = 2.58 hr
Now, Total Displacement : s1 + s2
= 49.3 + 130 Km
= 179.3 Km
Also, Average Velocity : Total Displacement/Total Time Taken
= (s1 + s2)/(t1 + t2)
= 179.3/2.58
= 69.4 m/s
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