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.

If the distance of a body undergoing motion is expressed as a function of time, say st then the…

Answered: A body moves on a coordinate line such…

Similar questions

A body moves on a coordinate line such that it has a position s= f(t) = 1² - 5t+4 on the interval 0st≤9, with s in meters and t in seconds. a. Find the body's displacement and average velocity for the given time interval b. Find the body's speed and acceleration at the endpoints of the interval. c. When, if ever, during the interval does the body change direction? The body's displacement for the given time interval is (Type an integer or a simplified fraction.) m. The body's average velocity for the given time interval is m/s. (Type an integer or a simplified fraction.) HECEN The body's speeds at the left and right endpoints of the interval are m/s and (Type integers or simplified fractions.) OA. The body changes direction at t= S (Type an integer or a simplified fraction.) OB. The body does not change direction during the interval. m/s, respectively. n m/s² and m/s², The body's accelerations at the left and right endpoints of the interval are (Type integers or simplified fractions.)…
Some children are practicing baseball and accidentally throw a ball onto the roof of one of their houses. Suppose that the baseball was thrown at an angle of 51° above the horizontal at a speed of 25 m/s. The ball rises to its maximum height before falling onto the roof of the house 3.6 m above the level at which it was thrown.a. determine the total time, in seconds, the baseball spends in the airb.calculate the distance in meters,between the baseball's launch point and its landing point
For each graph of vx vs. t in the left column, choose the letter (a-i) corresponding to the appropriate description of motion. Not all descriptions will be used. Assume the usual coordinate system (+x to the right, +y up, +z out of the page). a. A cart moves to the right, gradually slowing down. qv Ux by hv Uxi X Ux Ux Ux dv Ux Additional Materials eBook b. A cart moves to the right, gradually slowing down, stops, and moves to the left, speeding up. c. A cart moves to the left at constant speed. d. A cart moves to the right, gradually speeding up. e. A cart remains stationary and does not move. f. A cart moves to the right at constant speed. g. A cart moves to the left, gradually slowing down. h. A cart moves to the left, gradually slowing down, stops, and moves to the right, speeding up. i. A cart moves to the left, gradually speeding up.
At time t, the position of a body moving along the s-axis is s=−t^3+12t^2−36t m. a. Find the body's acceleration each time the velocity is zero. b. Find the body's speed each time the acceleration is zero. c. Find the total distance traveled by the body from t=0 to t=3.
A motorcycle begins at rest at t0 = 0 seconds. The motorcycle starts moving, and eventually covers a distance d = 840 m, in a time tf = 189 s. In a coordinate system with north being the positive x-direction, the motorcycle's motion is in the northern direction (see figure). 1. What was the motorcycle's average velocity in in the northern direction vavg,N, in this period in meters per second? 2. If the motorcycle's final velocity at tf was 12 m/s, what was the motorcycle's average acceleration in the northern direction, aavg,N, during this period in m/s2?
Consider the following descriptions of the vertical motion of an object subject only to the acceleration due to gravity. Begin with the acceleration equation a(t) = ν'(t) = -g, where g = 9.8 m/s2.a. Find the velocity of the object for all relevant times.b. Find the position of the object for all relevant times.c. Find the time when the object reaches its highest point. What is the height?d. Find the time when the object strikes the ground. A payload is dropped at an elevation of 400 m from a hot-air balloonthat is descending at a rate of 10 m/s.
When the motorcyclist is at A, he increases his speed along the vertical circular path at the rate of v = (0.04s) ft/s² where s is in ft. Take p = 270 ft. ▼ Part A V If he starts at V₁ = 2 ft/s where s = 0 at A, determine the magnitude of his velocity when he reaches B. = Express your answer to three significant figures and include the appropriate units. μÅ Value Units Submit Part B = P 0 O μÃ 60° Submit Also, what is his initial acceleration? Express your answer to three significant figures and include the appropriate units. Value Units Request Answer P Request Answer ? ?
A speed skater moving across frictionless ice at 7.80 m/s hits a 4.70-m-wide patch of rough ice. She slows steadily, then continues on at 5.20 m/s. Part A What is her acceleration on the rough ice? ΑΣΦ ? m/s²
A small object moves along the x-axis with acceleration a₂ (t) = -(0.0320 m/s³) (15.0 s-t). At t=0 the object is at x = -14.0 m and has velocity Voz = 8.20 m/s. Part A What is the x-coordinate of the object when t = 10.0 s? Express your answer with the appropriate units. x= μА Value 4 m ? X Incorrect; Try Again; 2 attempts remaining
Whale sharks swim forward while ascending or descending. They swim along a straight-line path at a shallow angle as they move from the surface to deep water or from the depths to the surface. In one recorded dive, a shark started 50 m below the surface and swam at 0.85 m/s along a path tipped at a 13° angle above the horizontal until reaching the surface. a. What was the horizontal distance between the shark's starting and ending positions?
The answer for this problem would be "C" but could you explain me why? The reason for this is to understand this kind of problems in the future not only this one.