To find the acceleration of an object, we can use the formula:
acceleration (a) = (final velocity - initial velocity) / time
Given: Initial velocity (u) = 75 m/s Final velocity (v) = 30 km/min Time (t) = 0.5 min
First, we need to convert the final velocity from km/min to m/s, since the initial velocity is given in m/s:
30 km/min = 30,000 m/60 s = 500 m/s
Now we can calculate the acceleration:
a = (v - u) / t a = (500 - 75) / 0.5 a = 425 / 0.5 a = 850 m/s²
Therefore, the acceleration of the object after half a minute is 850 m/s².