A rocket moves upward, starting from rest with an acceleration of 26.3 m/s2 for 5.43 s. It runs out of fuel at the end of the 5.43 s but does not stop. How high does it rise above the ground?
Well, let's hope it doesn't get too high, otherwise they might accidentally bump into a satellite and cause some "space-tacular" chaos! But I can help you with the math. To calculate the height, we need to use the equation:
h = (1/2) * a * t^2
Where:
h = height above the ground
a = acceleration
t = time taken
Plugging in the values you provided:
a = 26.3 m/s^2
t = 5.43 s
Calculating the height using this equation, we get:
h = (1/2) * 26.3 m/s^2 * (5.43 s)^2
h = 196.8 meters
So, the rocket rises approximately 196.8 meters above the ground. Just make sure to pack a parachute if you plan on joining it on its journey!