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9. interpret the objects acceleration from the velocity (m/s) vs. time …

Question

  1. interpret the objects acceleration from the velocity (m/s) vs. time (s) graph below. graph shows points (0, 5), (1, 8), (2, 11) on a velocity - time grid options: - the object accelerates at a rate of ( 3 , \text{m/s}^2 ). - the object accelerates at a rate of ( -3 , \text{m/s}^2 ). - the object accelerates at a rate of ( \frac{1}{3} , \text{m/s}^2 ).

Explanation:

Answer:

The object accelerates at a rate of \( 3 \, \text{m/s}^2 \) (using the slope formula for acceleration from velocity - time graph: \( a=\frac{\Delta v}{\Delta t}=\frac{11 - 8}{2 - 1}=\frac{3}{1}=3 \, \text{m/s}^2 \) or \( \frac{8 - 5}{1 - 0}=3 \, \text{m/s}^2 \))