It is known that the distance in metres through which a body falls freely varies directly as the square of the time taken. If a
body falls through 80 metres in 4 seconds, find the distance it would fall in 5 seconds.
step-by-step easy explanation, please.
1 answer:
Answer:
K = 5 ; 125 m
Step-by-step explanation:
body falls through 80 metres in 4 seconds, find the distance it would fall in 5 seconds.
Given that:
Distance α (Timetaken)²
Distance = d ; Timetaken = t
d = Kt²
K = constant of proportionality
80 = k4²
80 = 16k
K = 80 / 16
K = 5
Distance it would fall in 5 seconds ; t = 5
D = Kt²
D = 5 * 5²
D = 5 * 25
D = 125
It will fall a distance of 125 m in 5 seconds.
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