A rocketis caused to ascend vertically from the ground with a constant acceleration, a. At a time, t,, after leaving the ground the rocket motor is shut off. (a) Neglecting air resistance and assuming the acceleration due to gravity, g, is constant, sketch a graph showing how the velocity of the rocket varies with time from the moment it leaves the ground to the'moment it returns to ground. In your sloetch represent the ascending velocity as positive and the descending velocity as negative. Indicate on your graph (i) (i) the time to reach maximum height, As (1i) the time of flight, to (b) Account for the form of each portion of the graph and explain the significance of the area between the graph and the time axis from zero time to (1) . (i) f (lii) te (c) Either by using the graph or otherwise, derive expressions in terms of a, g and t for (i) (ii) the maximum height reached, (ii) f.
A rocketis caused to ascend vertically from the ground with a constant acceleration, a. At a time, t,, after leaving the ground the rocket motor is shut off. (a) Neglecting air resistance and assuming the acceleration due to gravity, g, is constant, sketch a graph showing how the velocity of the rocket varies with time from the moment it leaves the ground to the'moment it returns to ground. In your sloetch represent the ascending velocity as positive and the descending velocity as negative. Indicate on your graph (i) (i) the time to reach maximum height, As (1i) the time of flight, to (b) Account for the form of each portion of the graph and explain the significance of the area between the graph and the time axis from zero time to (1) . (i) f (lii) te (c) Either by using the graph or otherwise, derive expressions in terms of a, g and t for (i) (ii) the maximum height reached, (ii) f.
Related questions
Question
![A23 Arocketis caused to ascend vertically from the
ground with a constant acceleration, a. At a
time, t,, after leaving the ground the rocket
motor is shut off.
(a) Neglecting air resistance and assuming
the acceleration due to gravity, g, is
constant, sketch a graph showing how
the velocity of the rocket varies with time
from the moment it leaves the ground to
the moment it returns to ground. In your
sketch represent the ascending velocity as
positive and the descending velocity as
negative. Indicate on your graph (i)
(i) the time to reach maximum height,
A, (ili) the time of flight, t
(b) Account for the form of each portion of
the graph and explain the significance of
the area between the graph and the time
axis from zero time to (i) , (ii) t (ii) 4
(c) Either by using the graph or otherwise,
derive expressions in terms of a, g and
for (i) t (ii) the maximum height
reached, (iii) 4.
[J]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5a6d9c67-6f13-49d2-ac4d-2d996f90a88b%2F6d877595-0fd6-48eb-b870-a2314909d0cb%2F44npks_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A23 Arocketis caused to ascend vertically from the
ground with a constant acceleration, a. At a
time, t,, after leaving the ground the rocket
motor is shut off.
(a) Neglecting air resistance and assuming
the acceleration due to gravity, g, is
constant, sketch a graph showing how
the velocity of the rocket varies with time
from the moment it leaves the ground to
the moment it returns to ground. In your
sketch represent the ascending velocity as
positive and the descending velocity as
negative. Indicate on your graph (i)
(i) the time to reach maximum height,
A, (ili) the time of flight, t
(b) Account for the form of each portion of
the graph and explain the significance of
the area between the graph and the time
axis from zero time to (i) , (ii) t (ii) 4
(c) Either by using the graph or otherwise,
derive expressions in terms of a, g and
for (i) t (ii) the maximum height
reached, (iii) 4.
[J]
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 1 images
