Question

Consider a spaceship with uniform acceleration g. If the ship starts from rest (with respect to an inertial system S imagined as the Earth)

a) find its speed at time t and the distance x traveled.

b) find the ship's own time in terms of t.

c) with respect to an observer in S, how long does it take for the
ship to reach the velocity of v = 0.999? And how long does it take
the ship's passenger from his point of view to reach that same
speed?

Answer #1

A spaceship whose rest length is 350 m has a speed of
0.82c with respect to a certain
reference frame. A micrometeorite, also with a speed of
0.82c in this frame, passes the
spaceship on an antiparallel track. How long does it take this
object to pass the ship as
measured on the ship?

A train starts from rest with uniform acceleration of
0.25 m/s^2 and attains a speed of 45 kmph which subsequently
remains constant. One minute after the start of train A, another
train B steams off on a parallel track with uniform acceleration of
0.45
m/s^2 If the maximum speed gained by train B is 60 kmph, how much
time it will take for train B to overtake train A?

A proton accelerates from rest in a uniform electric field of
674 N/C. At some later time, its speed is
1.34 106 m/s.
(a) Find the magnitude of the acceleration of the proton.
(b) How long does it take the proton to reach this speed?
Use the acceleration you calculated in part (a) of this problem to
find the time required for the proton to reach the specified speed.
µs
(c) How far has it moved in that interval?
m
(d)...

A speedboat starts from rest at t = 0 s, and speeds up with a
constant acceleration of 4.01 m/s2 for 6.00 s. Then it continues
with a uniform speed for another 6.00 s. Finally, it slows down
with a constant acceleration of −3.41 m/s2 . In your written work,
include the velocity vs. time and acceleration vs. time graphs for
this motion. The numerical values on the graphs are required.
(a) How long does it take for the speedboat...

A proton accelerates from rest in a uniform electric field of
630 N/C. At some later time, its speed is 1.34 106 m/s.
(a) Find the magnitude of the acceleration of the proton.
6.04e10 Correct: Your answer is correct. m/s2
(b) How long does it take the proton to reach this speed? Use
the acceleration you calculated in part (a) of this problem to find
the time required for the proton to reach the specified speed.
µs
(c) How far...

A 2.34×104-kgkg space ship starts its vertical
journey from the earth's ground with a constant acceleration.
Consider that gg remains constant during the motion. Inside the
rocket, a 18.5-NN instrument hangs from a wire that can support a
maximum tension of 34.1 NN .
1-Calculate the minimum time for this space ship to reach the
sound barrier (330m/s)without breaking the inside wire.
2-Calculate the maximum vertical thrust of the ship's rocket
engines under these conditions.
3-How far is the space...

A proton accelerates from rest in a uniform electric field of
668 N/C. At some later time, its speed is 1.12 106 m/s. (a) Find
the magnitude of the acceleration of the proton. m/s2 (b) How long
does it take the proton to reach this speed? µs (c) How far has it
moved in that interval? m (d) What is its kinetic energy at the
later time? J

A proton accelerates from rest in a uniform electric field of
654 N/C. At some later time, its speed is 1.22 106
m/s.
(a) Find the magnitude of the acceleration of the proton.
m/s2
(b) How long does it take the proton to reach this speed?
µs
(c) How far has it moved in that interval?
m
(d) What is its kinetic energy at the later time?
J

A proton accelerates from rest in a uniform electric field of
580 N/C. At some later time, its speed is found to be 3.6 ✕ 106
m/s.
(a)
Calculate the magnitude of the acceleration of the proton (in
m/s2).
m/s2
(b)
How long (in s) does it take the proton to reach the given
speed?
s
3.
[–/1 Points]
DETAILS

A car starts from rest and travels for 8.0 s with a uniform
acceleration of +1.8 m/s2. The driver then applies the
brakes, causing a uniform acceleration of -2.0 m/s2. If
the brakes are applied for 3.0 s, determine each of the
following.
(a) How fast is the car going at the end of the braking
period?
(b) How far has it gone?

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