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PhysicsQ&A LibraryOn 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.Question

Asked Feb 4, 2019

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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.

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, *a _{x}*=4.92 m/s

Acceleration in y direction, *a _{y}*=7.16 m/s

Final velocities of spacecraft in x direction, *v _{x} *= 3743 m/s

Final velocities of spacecraft in y direction, *v _{y}* = 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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