nutzhutzskutz740 nutzhutzskutz740

Today at 4:53 AM
Mathematics

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The function sequalsf(t) gives the position of a body moving on a coordinate line, with s in meters and t in seconds. Find the body's displacement and average velocity for the given time interval. sequals6t squaredplus3tplus5, 0 less than or equalsxless than or equals2

Answer :

Rau7star Rau7star

Today at 4:57 AM

Answer:

Δs=10m

[tex]v_a_v=[/tex]5m/s

Step-by-step explanation:

s=t²+3t +5,0<=t<=2

Let f(t)=s=t²+3t +5

The displacement of the body over the time interval from 0 to 2 is

Δs=f(2)-f(0)

Δs=(2²+3(2) +5) - (0²+3(0) +5)

Δs=10m

The average velocity of the body over the time interval from 0 to 2 is

[tex]v_a_v=[/tex]displacement / travel time =Δs/Δt

=10 / 2

=5m/s

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