Physics

To calculate the total horizontal distance covered by the rocket launched at a 45° angle from a 100-meter-tall platform, with an initial velocity of 100 m/s and experiencing a constant horizontal acceleration of 2 m/s², follow these steps:

 

Calculate Initial Velocity Components

Initial Horizontal Velocity ():

 

Initial Vertical Velocity ():

 

Calculate Time of Flight

To find the time of flight, use the vertical motion equation considering the height of the platform:

 

Setting m (as it falls 100 meters):

Rearranging gives:

 

Use the Quadratic Formula to Solve for

Using the quadratic formula :

 

Calculating the discriminant:

 

Now calculate :

Click "Show Answer" to reveal the answer and analysis