A rocket blasts off. In 10.0 seconds it is at 10,000 ft, traveling at 3600 mph. Assuming the direction is up, calculate the acceleration.
5280 ft/sec2
528 ft/sec2
100 ft/sec2
100. ft/sec2
To calculate the acceleration of the rocket, we can use the kinematic equation:
v = u + at
Where:
v = final velocity
u = initial velocity
a = acceleration
t = time
Given:
Initial velocity (u) = 0 (since the rocket starts from rest)
Final velocity (v) = 3600 mph
Time (t) = 10.0 seconds
First, let's convert the final velocity from mph to ft/sec.
1 mph = 1.47 ft/sec (approximately)
Therefore, 3600 mph = 3600 * 1.47 ft/sec = 5292 ft/sec (approximately)
Now, we can plug in the values into the equation to find the acceleration:
5292 ft/sec = 0 + a * 10.0 seconds
a = (5292 ft/sec) / (10.0 seconds)
a = 529.2 ft/sec^2
Therefore, the acceleration of the rocket is approximately 529.2 ft/sec^2. Rounding to the nearest whole number, the answer is 529 ft/sec^2.