A colony of bacteria is growing at a rate of 0.2 times its mass. Here time is measured in hours and mass in grams. The mass of t
he bacteria is growing at a rate of 4 grams per hour after 3 hours. Write down the differential equation the mass of the bacteria, m, satisfies:
1 answer:
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Answer:
The time taken for the flare to hit the ground is approximately 10.7 seconds.
Step-by-step explanation:
Given : Suppose a flare is shot from the top of a 120 foot building at a speed of 160 feet per second. The equation models the h height at t seconds of the flare.
To find : How long will it take for the flare to hit the ground?
Solution :
The equation models the h height at t seconds of the flare.
The flare to hit the ground when h=0.
Substitute in the equation,
Applying quadratic formula,
Where, a=-16, b=160 and c=120
Reject the negative value.
Therefore, the time taken for the flare to hit the ground is approximately 10.7 seconds.
