Question

Suppose that the distance an aircraft travels along a runway before takeoff is given by $D=(10 / 9) t^{2},$ where $D$ is measured in meters from the starting point and $t$ is measured in seconds from the time the brakes are released. The aircraft will become airborne when its speed reaches $200 \mathrm{km} / \mathrm{h}$. How long will it take to become airborne, and what distance will it travel in that time?

Name: Suppose that the distance an aircraft travels along a runway before takeoff is given by D=(10 / 9) t^2, where D is measured in meters from the starting point and t is measured in seconds from the time the brakes are released. The aircraft will become airborne when its speed reaches 200 km / h. How long will it take to become airborne, and what distance will it travel in that time?
Uploaded: 2022-04-09T04:09:25-08:00
Duration: 1 min 36 s
Channel: Suman Saurav Thakur
Description: Suppose that the distance an aircraft travels along a runway before takeoff is given by D=(10 / 9) t^2, where D is measured in meters from the starting point and t is measured in seconds from the time the brakes are released. The aircraft will become airborne when its speed reaches 200 km / h. How long will it take to become airborne, and what distance will it travel in that time?

          Suppose that the distance an aircraft travels along a runway before takeoff is given by $D=(10 / 9) t^{2},$ where $D$ is measured in meters from the starting point and $t$ is measured in seconds from the time the brakes are released. The aircraft will become airborne when its speed reaches $200 \mathrm{km} / \mathrm{h}$. How long will it take to become airborne, and what distance will it travel in that time?

Added by Beverly J.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Suman Saurav Thakur

04/09/2022

Step 1

Step 1:** Find the speed of the aircraft by differentiating the distance equation with respect to time: \[ \frac{dD}{dt} = \frac{20}{9}t \] ** Show more…

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Suppose that the distance an aircraft travels along a runway before takeoff is given by $D=(10 / 9) t^{2},$ where $D$ is measured in meters from the starting point and $t$ is measured in seconds from the time the brakes are released. The aircraft will become airborne when its speed reaches $200 \mathrm{km} / \mathrm{h}$. How long will it take to become airborne, and what distance will it travel in that time?