At a time t seconds after it is thrown up in the air, a tomato is at a height of f(t) = −4.9t^2 + 25t + 8 meters. Give all answers below to two decimal places. (a) Find the average velocity of the tomato during the first 1.6 seconds? (b) Find the instantaneous velocity of the tomato at t = 1.6

Aryan Lowery

Aryan Lowery

Answered question

2022-09-29

At a time t seconds after it is thrown up in the air, a tomato is at a height of f(t) = -4.9t:2 + 25t + 8 meters.
Give all answers below to two decimal places.
(a) Find the average velocity of the tomato during the first 1.6 seconds?
(b) Find the instantaneous velocity of the tomato at t = 1.6

Answer & Explanation

oldgaffer1b

oldgaffer1b

Beginner2022-09-30Added 9 answers

average velocity = f ( b f ( a ) ) b a
( ( 4.9 1.6 1.6 + 25 1.6 + 8 ) ( 4.9 0 2 + 25 0 + 8 ) 1.6 0
27.456 1.6
17.16   m / s
Instantaneous Velocity= f ( t ) = 9.8 t + 25
Velocity(t=1.6)= = 25 9.8 1.6 = 9.32 m / s

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