Final answer:
The acceleration of the space shuttle is approximately 86.67 m/s².
Step-by-step explanation:
To calculate the acceleration of the space shuttle, we can use the formula:
acceleration = (final velocity - initial velocity) / time
Given that the final velocity is 7800 m/s and the time is 1.5 minutes (or 90 seconds), we can substitute these values into the formula:
acceleration = (7800 m/s - 0 m/s) / 90 s
acceleration = 7800 m/s / 90 s
acceleration = 86.67 m/s²
Therefore, the acceleration of the space shuttle is approximately 86.67 m/s².