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onyebuchinnaji

The slope of the velocity - time graph from the given data point is 0.21 m/s².

Slope of velocity - time graph

Acceleration is the rate of change of velocity with time. The slope of velocity - time graph is accelertion.

a = Δv/Δt

where;

  • a is acceleration
  • Δv is change in velocity
  • Δt is change in time

Change in velocity

Δv = v₂ - v₁

Δv = 2.35 - 0.4

Δv = 1.95 m/s

Change in time

Δt = t₂ - t₁

Δt = 10 - 0.5

Δt = 9.5 s

Slope of the graph

a = Δv/Δt

a = 1.95/9.5

a = 0.21 m/s²

Thus, the slope of the velocity - time graph from the given data point is 0.21 m/s².

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temdan2001

With the use of formula, the slope of the graph is 0.21 m/[tex]s^{2}[/tex]

SLOPE

The slope M of a graph is the gradient of the graph.

The formula for calculating slope M is;

M = [tex]\frac{V_{2} - V_{1} }{t_{2} - t_{1} }[/tex]

From a graph it is given that

  • v1 = 0.4m/s
  • v2 = 2.35m/s
  • t1 = 0.5s
  • t2 = 10.0s.

The slope obtained using the above information can be calculated by using the formula above

M = (2.35 - 0.4) / ( 10 - 0.5 )

M = 1.95 / 9.5

M = 0.205 m/[tex]s^{2}[/tex]

Therefore, the slope of the graph is 0.21 m/[tex]s^{2}[/tex] approximately

Learn more about Slope here: https://brainly.com/question/21727173