a cyclist racing at a speed of 5ms-¹ braked with uniform deceleration and stopped in 3m. the time taken to stop is?
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Explanation:
Given,
u=5m/s
v=0 m/s
s=3 m
By third equation of motion,
v²-u²=2as
=>(0)²-(5)²=2×a×3
=>0-25=6a
=>-25=6a
=>6a =-25
=>a= -25/6=>a =-4.16 m/s²
By first equation of motion,
v=u+at
=>0=5+(-4.16)×t
=>0=5 -4.16 ×t
=0=0.84 ×t
=>0=0.84t
=>t=0.84s
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