To determine how fast the object is moving at the given distance, we can use the equation of motion:
v² = u² + 2as
Where: v = final velocity u = initial velocity (0 m/s, since it starts from rest) a = acceleration (4 m/s²) s = distance (200 m)
Plugging in the values, we get:
v² = 0² + 2 * 4 * 200 v² = 0 + 1600 v = √1600 v = 40 m/s
Therefore, the object is moving at a speed of 40 m/s at that time.
To find out how long it took for the object to reach that velocity, we can use the equation:
v = u + at
Where: v = final velocity (40 m/s) u = initial velocity (0 m/s) a = acceleration (4 m/s²) t = time
Plugging in the values, we get:
40 = 0 + 4 * t 40 = 4t t = 40 / 4 t = 10 seconds
Therefore, it took the object 10 seconds to reach a velocity of 40 m/s.