Aparticle moves with acceleration function a(t) = 5 + 4t - 2t^2. its initial velocity v(0) = 3 m/s and its initial displacement is s(0) = 10 m. find its position after 4 seconds.

Its position after 4 seconds is 62 meters.

Explanation:

It is given that,

The acceleration of the particle is given by equation :

Also,

At t = 0, . So, c = 3

Also, , s is the position

At t = 0, . So, c' = 10

At t = 4 s

s = 62 m

So, at t = 4 seconds the position of the particle is 62 meters. Hence, this is the required solution.

answer; /// i believe that the correct answer is (c)

answer: the exterior temperature of commercial jet planes as they leave the stratosphere and return to the ground increases steadily.

explanation:

the lower most layer of atmosphere is troposphere which extends from 0 to 12 km above the surface of the earth. the temperature initially decreases as distance is increased from the earth's surface. commercial jets fly in lower part of the stratosphere. the stratosphere extends upto 50 km. the temperature in stratosphere starts rising again due to presence of ozone which traps the uv rays.

thus, when the planes leave the stratosphere and return to the ground, the exterior temperature increases steadily.