Final answer:
The acceleration of the wagon is 2 m/s², and the force required to achieve this acceleration is 70 Newtons.
Step-by-step explanation:
The question asks for the acceleration of a wagon and the force required to achieve this acceleration. First, we'll use the formula for acceleration (a), which is the change in velocity (Δv) over time (t), given by a = Δv / t. In this scenario, the change in velocity is from 0 m/s to 30 m/s over 15 seconds.
a = (30 m/s - 0 m/s) / 15 s = 2 m/s²
Therefore, the acceleration of the wagon is 2 m/s².
Next, we'll calculate the force (F) using Newton's second law, which states that force is equal to mass (m) multiplied by acceleration (a), or F = ma. For the given mass of the wagon, 35 kg, and the calculated acceleration of 2 m/s²:
F = 35 kg * 2 m/s² = 70 N
The force required to achieve this acceleration is 70 Newtons.