Amodel rocket blasts off and moves upward with an acceleration of 12 m/s2 until it reaches a height of 26 m. at that height, its engine shuts off, and it continues its flight in free fall. (a) what is the maximum height attained by the rocket? (b) what is the speed of the rocket just before it hits the ground? (c) what is the total duration (ins) of the rocket's flight?

initial acceleration of rocket is given as

a = 12 m/s^2

h = 26 m

now we can use kinematics to find its speed

now after this it will be under free fall

so now again using kinematics

at maximum height

total height from the ground = 31.8 + 26 = 57.8 m

Part b)

now after reaching highest height it will fall to ground

So in order to find the speed we can use kinematics again

Part c)

first rocket accelerate to reach height 26 meter and speed becomes 24.98 m/s

now we have

after this it will reach to highest point and final speed becomes zero

now from this it will fall back to ground and reach to final speed 33.67 m/s

now we have

so total time is given as

t = 3.44 + 2.55 + 2.1 = 8.1 s

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm.   the wire diameter is d = 0.9 mm.   the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a                                          

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2)   in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation:

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.