A body moves on a coordinate line such that it has a positions=f(t) = - 4t + 3 on the interval Osts3, with s in meters and t in seconds. a. Find the body's speed and acceleration at the endpoints of the interval. b When, if ever, during the interval does the body change direction? The body's speeds at the left and right endpoints of the interval arem/s and m/s, respectively (Type integers or simplified fractions.) The body's accelerations at the left and right endpoints of the interval arem/s andm/s, respectively. (Type integers or simplified fractions.) When, if ever, during the interval does the body change direction? Select the correct choice below and fill in any answer boxes within your choice. O A. The body changes direction at t= (Type an integer or a simplified fraction.) O B. The body does not change direction during the interval.

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A body moves on a coordinate line such that it has a position s= f(t) = - 41 + 3 on the interval 0sts3, with s in meters and t in seconds.
a. Find the body's speed and acceleration at the endpoints of the interval.
b When, if ever, during the interval does the body change direction?
The body's speeds at the left and right endpoints of the interval are
(Type integers or simplified fractions.)
m/s and m/s, respectively.
The body's accelerations at the left and right endpoints of the interval arem/s and m/s, respectively.
(Type integers or simplified fractions.)
When, if ever, during the interval does the body change direction? Select the correct choice below and fill in any answer boxes within your choice.
O A. The body changes direction at t=
(Type an integer or a simplified fraction.)
O B. The body does not change direction during the interval.
S.
Transcribed Image Text:A body moves on a coordinate line such that it has a position s= f(t) = - 41 + 3 on the interval 0sts3, with s in meters and t in seconds. a. Find the body's speed and acceleration at the endpoints of the interval. b When, if ever, during the interval does the body change direction? The body's speeds at the left and right endpoints of the interval are (Type integers or simplified fractions.) m/s and m/s, respectively. The body's accelerations at the left and right endpoints of the interval arem/s and m/s, respectively. (Type integers or simplified fractions.) When, if ever, during the interval does the body change direction? Select the correct choice below and fill in any answer boxes within your choice. O A. The body changes direction at t= (Type an integer or a simplified fraction.) O B. The body does not change direction during the interval. S.
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