Question

On a spacecraft, two engines are turned on for 789 s at a moment when the velocity of the craft has x and y components of v0x = 5410 m/s and v0y = 8100 m/s. While the engines are firing, the craft undergoes a displacement that has components of x = 2.78 x 106 m and y = 4.73 x 10^6m. Find the (a) x and (b) y components of the craft's acceleration.

Answer 1

Step-by-step explanation:

Given

time for which spacecraft turned on is 789 s

`v_(0x)=5410 m/s`

`v_(0y)=8100 m/s`

`x=2.78* 10^6 m`

`y=4.73* 10^6 m`

we know
`s=ut+(at^2)/(2)`

`2.78* 10^6=5410* 789+(a_x(789)^2)/(2)`

`2.78=4.268+a_x* 0.622`

`a_x=-2.392 m/s^2`

For y component

`s=ut+(at^2)/(2)`

`4.73* 10^6=8100* 789+(a_y(789)^2)/(2)`

`4.73=6.39+a_y* 0.622`

`a_y=-2.66 m/s^2`