# 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.

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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.

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Step 1

The magnitude of the initial velocity can be calculated using following steps.

Step 2

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

Step 3

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...

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### Newtons Laws of Motion 