Answer:
[tex]\boxed{ \text{-4 m/s}^{2} \text{ at Point B; 2 m/s}^{2} \text{ at Point C. }}\\[/tex]
Step-by-step explanation:
Acceleration (a) is the change in velocity (Δv) divided by the change in time (Δt).
[tex]a = \frac{ \Delta v }{ \Delta t } = \frac{v_{2} - v_{1} }{t_{2} - t_{1}} \\[/tex]
1. Acceleration at Point B
[tex]a = \frac{260 - 300 }{10 - 0} = \frac{-40 }{ 10} = \text{-4 m/s}^{2}\\[/tex]
[tex]\boxed{\textbf{The acceleration is -4 m/s}^{2}.}\\[/tex]
2. Acceleration at Point C
[tex]a = \frac{350 - 260 }{45 - 0} = \frac{90 }{ 45} = \text{2 m/s}^{2}\\[/tex]
[tex]\boxed{\textbf{The acceleration is 2 m/s}^{2}.}\\[/tex]
