The position of a particle in millimeters is given by s = 133 - 26t + t2 where t is in seconds. plot the s-t and v-t relationships for the first 19 seconds. determine the net displacement as during that interval and the total distance d traveled. by inspection of the s-t relationship, what conclusion can you reach regarding the acceleration?

Answer with Explanation:

The position of the particle as a function of time is given by

Part 1) The position as a function of time is shown in the below attached figure.

Part 2) By the definition of velocity we have

The velocity as a function of time is shown in the below attached figure.

Part 3) The displacement of the particle in the first 19 seconds is given by

Part 4) The distance covered in the first 19 seconds can be found by evaluating the integral

Part 4) As we can see that the position-time graph is parabolic in shape hence we conclude that the motion is uniformly accelerated motion.

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.