a cyclist is traveling 15m/s she applies a brake so that she doesn't collide with a wall of 18m away. what retardation must she have?
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U=15
V=0
S=18
2as=v^2-u^2
2×a×18 = 0-15^2
36a= -225
a= -225/36
a= -6.25m/s^2
Here the sign is negative so it indicates as a negative acceleration, decceleration or retardation.
(hope that this helps!)
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