A car is travelling with varying speed, and at the moment t = 0 the speed is [30 marks] 100 km/h. The car gradually slows down according to the formula - L(t) = at — bt2, t≥ 0, where L(t) is the distance travelled along the road and b = 90 km/h2. The value of a is not given, but you can find it. Using derivative, find the time moment when the car speed becomes 10 km/h. Find the acceleration of the car at that moment.
A car is travelling with varying speed, and at the moment t = 0 the speed is [30 marks] 100 km/h. The car gradually slows down according to the formula - L(t) = at — bt2, t≥ 0, where L(t) is the distance travelled along the road and b = 90 km/h2. The value of a is not given, but you can find it. Using derivative, find the time moment when the car speed becomes 10 km/h. Find the acceleration of the car at that moment.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![A car is travelling with varying speed, and at
the moment t = 0 the speed is [30 marks]
100 km/h. The car gradually slows down
according to the formula
L(t) = at — bt2, t≥ 0,
where L(t) is the distance travelled along
the road and b = 90 km/h2. The
value of a is not given, but you can find it.
Using derivative, find the time
moment when the car speed becomes 10
km/h. Find the acceleration of the
car at that moment.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8c50b53b-4b3e-438e-bc94-ef01b9f7251c%2Ff83478ae-1014-4547-b36e-60dcd26d3266%2Fa1cc54_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A car is travelling with varying speed, and at
the moment t = 0 the speed is [30 marks]
100 km/h. The car gradually slows down
according to the formula
L(t) = at — bt2, t≥ 0,
where L(t) is the distance travelled along
the road and b = 90 km/h2. The
value of a is not given, but you can find it.
Using derivative, find the time
moment when the car speed becomes 10
km/h. Find the acceleration of the
car at that moment.
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