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Sagot :
Answer:
Explanation:
deceleration during first 2 s = (87 - 44) / 2 =21.5 m /s²
deceleration during next 2 s = (44 - 16) / 2 =14 m /s²
deceleration during last 2 s = (16 - 0) / 2 = 8 m /s²
If we assume the acceleration to be uniform during 3 readings
distance travelled during first 2 s
v² - u² = 2 a s
87² - 44² = 2 x 21.5 x s
s = 7569 - 1936 / 43
= 176 m
distance travelled during next 2 s
44² - 16² = 2 x 14 x s
s = 1936 - 256 / 28
= 60 m
distance travelled during last 2 s
16² - 0² = 2 x 8 x s
s = 256 / 16
= 16 m
Total distance travelled = 176 + 60 + 16 = 252 m
If we assume the acceleration as non- uniform , we first calculate average acceleration as follows .
average acceleration = (87 - 0)/ 6 = 14.5 m /s²
v² - u² = 2 a s
87² - 0² = 2 x 14.5 x s
s = 7569 / 29
= 261 m
Hence lower estimate of distance travelled = 252 m ; upper estimate of distance travelled = 261 m .
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