To determine the acceleration of the object, we can analyze the change in velocity over time. Acceleration is defined as the rate of change of velocity.
Let's consider the given velocities at the end of 5 successive seconds: v1 = 10 m/s v2 = 15 m/s v3 = 20 m/s v4 = 25 m/s v5 = 30 m/s
The acceleration can be calculated using the formula:
acceleration = (change in velocity) / (time)
First, we find the change in velocity for each successive second: Δv1 = v2 - v1 = 15 - 10 = 5 m/s Δv2 = v3 - v2 = 20 - 15 = 5 m/s Δv3 = v4 - v3 = 25 - 20 = 5 m/s Δv4 = v5 - v4 = 30 - 25 = 5 m/s
Next, we calculate the average acceleration by dividing the total change in velocity by the total time:
average acceleration = (total change in velocity) / (total time)
The total change in velocity is the sum of the individual changes in velocity: total change in velocity = Δv1 + Δv2 + Δv3 + Δv4 = 5 + 5 + 5 + 5 = 20 m/s
The total time is the time period during which the changes in velocity occurred: total time = 5 seconds
Now we can calculate the average acceleration: average acceleration = (total change in velocity) / (total time) = 20 / 5 = 4 m/s²
Therefore, the acceleration of the object is 4 m/s².