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Social ScienceOn a spacecraft two engines fire for a time of 532 s. One gives the craft an acceleration in the x direction of ax = 4.92 m/s2, while the other produces an acceleration in the y direction of ay = 7.16 m/s2. At the end of the firing period, the craft has velocity components of vx = 3743 m/s and vy = 4808 m/s. Calculate the magnitude of the initial velocity.
On a spacecraft two engines fire for a time of 532 s. One gives the craft an acceleration in the x direction of ax = 4.92 m/s2, while the other produces an acceleration in the y direction of ay = 7.16 m/s2. At the end of the firing period, the craft has velocity components of vx = 3743 m/s and vy = 4808 m/s. Calculate the magnitude of the initial velocity.
Expert Answer
The magnitude of the initial velocity can be calculated using following steps.
Given:
Time taken, t = 532 s
Acceleration in x direction, ax=4.92 m/s2
Acceleration in y direction, ay=7.16 m/s2
Final velocities of spacecraft in x direction, vx = 3743 m/s
Final velocities of spacecraft in y direction, vy = 4808 m/s
Calculation:
According to first equation of motion we get,
v = u + at
Where,
v = final velocity of the object
u = initial velocity of the object
a = accelerat...
Science
Physics
Newtons Laws of Motion
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