A rocket of mass 4.50 105 kg is in flight. its thrust is directed at an angle of 64.0° above the horizontal and has a magnitude of 7.50 106 N. Find the magnitude and direction of the rockets acceleration. Give the direction as an angle above the horizonal.

a= Force/mass

a is the same direction as force

its not right. i checked

Ahhhhh. You have to add g to it.

a= Force/mass + g

so break up force/mass into vertical, horizontal, then add g to vertical.

To find the magnitude and direction of the rocket's acceleration, we can use Newton's second law of motion. According to this law, the net force acting on an object is equal to the mass of the object multiplied by its acceleration.

First, let's break down the thrust force into its horizontal and vertical components. The vertical component of the thrust force can be found by multiplying the magnitude of the thrust force by the sine of the angle above the horizontal:

Vertical component of the thrust force = Thrust force * sin(angle)

Plugging in the values given:

Vertical component of the thrust force = 7.50 * 10^6 N * sin(64°)

Next, let's find the horizontal component of the thrust force. The horizontal component can be found by multiplying the magnitude of the thrust force by the cosine of the angle above the horizontal:

Horizontal component of the thrust force = Thrust force * cos(angle)

Plugging in the values given:

Horizontal component of the thrust force = 7.50 * 10^6 N * cos(64°)

The net force acting on the rocket can be determined by subtracting the force due to gravity (mg) from the vertical component of the thrust force:

Net force = Vertical component of the thrust force - Force due to gravity

Force due to gravity = mass * acceleration due to gravity

Plugging in the values:

Force due to gravity = 4.50 * 10^5 kg * 9.8 m/s^2

Now we can rearrange Newton's second law of motion to solve for the acceleration:

Net force = mass * acceleration

Substituting the values we have:

Net force = 4.50 * 10^5 kg * acceleration

Solving for acceleration:

acceleration = Net force / mass

Now we have the acceleration, we can find its magnitude and direction:

Magnitude of acceleration = √(horizontal component of acceleration)^2 + (vertical component of acceleration)^2

Direction of acceleration = arctan(vertical component of acceleration / horizontal component of acceleration)

Using the calculated values, you can find the magnitude and direction of the rocket's acceleration.