Middle School

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A runner has an initial velocity of 4 meters per second. After 20 seconds, the runner's velocity is 6 meters per second. What is the runner's acceleration?

A. 1 meter/second² in the same direction of travel
B. 0.1 meters/second² in the same direction of travel
C. –1 meter/second² in the same direction of travel

Answer :

Answer:

The acceleration of runner is [tex]\bold{0.1 \ m / s^{2}}[/tex] if his initial velocity is 4 m⁄s and after 20 seconds the runner's velocity is 6 m⁄s.

Option: B

Explanation:

From given we came to know that the runner starts his initial velocity is 4 , and in 20 s speeds up to 6 m⁄s, to find acceleration of runner, we know that acceleration is ratio of change in velocity to change in time.

The acceleration is given by the formula:

[tex]\text { Acceleration }=\frac{\text { Change in velocity }}{\text { Change in time }}[/tex]

We know that change in velocity as 4 m/s to 6 m/s and change time as 20 s.

[tex]\Rightarrow \text { Acceleration }=\frac{6-4}{20}[/tex]

[tex]\therefore \text { Acceleration }=0.1 \ \mathrm{m} / \mathrm{s}^{2}[/tex]

Therefore, acceleration of runner will be [tex]0.1 \ m / s^{2}[/tex]

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Rewritten by : Barada

Answer:

B. 0.1 meters/second/second in the same direction of travel.

Explanation:

Acceleration is the rate of change of velocity. Acceleration is a vector quantity.

a=Δv/Δt

=(v₂-v₁)/(t₂-t₁)

v₁=4 m/s

v₂=6 m/s

t₁=0 s

t₂=20 s

a=(6m/s-4m/s)/(20s-0)

= 0.1 m/s² in the same direction of travel.

Therefore acceleration =0.1 meters/second/second in the same direction of travel.