You are flying your Scooty Puff Jr. spaceship at 400 m/s in a direction 40 degrees from the positive y-axis towards the negative x-axis. You're also accelerating at a rate of 0.5 m/s2 in a direction 30 degrees from the positive x-axis towards the negative y-axis. What is your current velocity?

Respuesta :

Answer:

Explanation:

Given

velocity of spaceship =400 m/s

at angle of [tex]40^{\circ}[/tex] from Positive Y axis towards negative x axis

acceleration of Spaceship=[tex]0.5 m/s^2[/tex]

at an angle of [tex]30^{\circ}[/tex] from positive x axis towards the negative x axis

[tex]\vec{v}=400\left ( -\sin(40)\hat{i}+\cos (40)\hat{j}\right )[/tex]

[tex]\vec{v}=-257.11\hat{i}+306.41\hat{j}[/tex]

acceleration

[tex]\vec{a}=0.5\left ( \cos (30)\hat{i}-\sin (30)\hat{j}\right )[/tex]

[tex]\vec{a}=0.433\hat{i}-0.25\hat{j}[/tex]

Ver imagen nuuk