Question

The distance s travelled by an accelerating rocket is given bys = ut + 1/2 at². Find s when u = 3 m/s, t = 100 s and a = 0.1 m/s².​

Answer 1

The distance traveled by the accelerating rocket, given the values of u = 3 m/s, t = 100 s, and a = 0.1 m/s², is 800 m.

Step-by-step explanation:

To find the distance traveled by the rocket, we can use the equation s = ut + 1/2 at², where s is the distance, u is the initial velocity, t is the time, and a is the acceleration.

Given that u = 3 m/s, t = 100 s, and a = 0.1 m/s², we can substitute these values into the equation:

s = (3 m/s) * (100 s) + 1/2 * (0.1 m/s²) * (100 s)²

s = 300 m + 1/2 * 0.1 m/s² * 10000 s²

s = 300 m + 1/2 * 0.1 m/s² * 10000 s²

s = 300 m + 0.05 m/s² * 10000 s²

s = 300 m + 500 m

s = 800 m