To find the acceleration of an object, you can use the equation:
a = (v - u) / t
Where: a = acceleration v = final velocity u = initial velocity t = time
In this case, the initial velocity (u) is given as 75 m/s. The final velocity (v) is given as 30 km/min. We need to convert the final velocity from km/min to m/s to ensure consistent units.
1 km = 1000 m 1 min = 60 s
Converting the final velocity: 30 km/min = (30 * 1000 m) / (1 min) = 30,000 m/60 s = 500 m/s
The time (t) is given as half a minute, which is 30 seconds. Plugging these values into the equation:
a = (500 m/s - 75 m/s) / 30 s
a = 425 m/s / 30 s
a ≈ 14.17 m/s²
Therefore, the acceleration of the object after half a minute is approximately 14.17 m/s².