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A snowmobile moves according to the velocity-time graph shown in the drawing. What is the snowmobile's average acceleration during (a) segment A, (b) segment B, and (c) segment C?

Respuesta :

Answer:

(a). The average acceleration during segment A is 2 m/s²

(b). The average acceleration during segment B is zero.

(c). The average acceleration during segment C is 4 m/s².

Explanation:

Given that,

A snowmobile moves according to the velocity-time graph ,

(a), We need to calculate the average acceleration during segment A

Using formula of average acceleration

[tex]a=\dfrac{v_{f}-v_{i}}{t_{2}-t_{1}}[/tex]

Where, [tex]v_{i}[/tex] = initial velocity

[tex]v_{f}[/tex] =final velocity

[tex]t_{i}[/tex] = initial time

[tex]t_{f}[/tex] =final time

Put the value into the formula

[tex]a=\dfrac{40-0}{20-0}[/tex]

[tex]a=2\ m/s^2[/tex]

(b). We need to calculate the average acceleration during segment B

Using formula of average acceleration

[tex]a=\dfrac{v_{f}-v_{i}}{t_{2}-t_{1}}[/tex]

Put the value into the formula

[tex]a=\dfrac{40-40}{50-20}[/tex]

[tex]a=0\ m/s^2[/tex]

(c). We need to calculate the average acceleration during segment C

Using formula of average acceleration

[tex]a=\dfrac{v_{f}-v_{i}}{t_{2}-t_{1}}[/tex]

Put the value into the formula

[tex]a=\dfrac{80-40}{60-50}[/tex]

[tex]a=4\ m/s^2[/tex]

Hence, (a). The average acceleration during segment A is 2 m/s²

(b). The average acceleration during segment B is zero.

(c). The average acceleration during segment C is 4 m/s².

Ver imagen CarliReifsteck