5. A particle is pushed along a horizontal surface in such a way that it starts with a velocity of 15 m/s. Its velocity decreases at a uniform rate of 0.25m/s2 (a) Find the time in which it will come to rest. (b) Find the distance covered by it before coming to rest? (2)
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Answer:
i) t = 60 seconds
ii) s = 450m
Explanation:
u = 15m/s
a = -0.25m/s²
i) v = 0
v = u + at
t = v - u / a
t = 0 - 15 / -0.25 = 15 / 0.25 = 1500/25
t = 60 seconds
ii) 2as = v² - u²
2as = -u²
s = -u² / 2a
s = - 15 × 15 / 2 × -0.25
s = 225 / 0.5
s = 450m
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