Which of the following statements describes position? The position of an object at a specific time is measured by finding the location of the object at that time. Q The position of the object always tells us how far the object has moved. O The position of an object is the distance the object has traveled. O The position of an object always tells us how fast the object is moving. A person is standing and throws a ball into the air at time t = 0 seconds and from a height of 1 meter. The graph shows the height of the ball over time. The function f(t) = ( t 3 ) 2 + 10 describes the motion of the ball. What is the average velocity of the ball over the interval[1 , 2]? Height (m) Time (sec) 6) 2 meters per second O 1 meters per second O 3 meters per second 0 cannot be calculated What is the difference between the average velocity A person is standing and throws a ball into the air at time t = 0 seconds from between [ 1, 5] and the instantaneous velocity at 1? a height of one meter. The graph shows the height of the ball over time. The function f (t) = -( t - 3 ) 2 + 10 describes the motion of the ball. 0 4 d 0 1 Height (m) 6 7 8 9 10 O cannot be found Time (sec) Av Velocity (m/sec) not 5 6 8 9 10 Time (sec)The graph below shows the function f(X) = X3 . Y 6x If f(x) describes the position of an object over time, at what time is the object moving the fastest in the interval [-2,2] and what is the object's instantaneous velocity? 0 12 meters per second 0 10 meters per second 0 1 meter per second 0 can not be computed The graph below shows the velocity of an object over time. Ly Velocity (m/s) Time (s) What is the average acceleration on the interval [-1,1]? 0 -2 m $2 O -1 m $ 2 m $ 2 O 1 mThe graph below shows the velocity of an object over time. Velocity (m/s) Boger Noegoo -3 -2 Time (s) What is the instantaneous acceleration at t = 0? 0 -2 m 2 0 -1 m $2 OO m $2 0 2The velocity of an object v(t) is shown in the graph. v(t) = t4 - 3t2 and V '(t) = 4+3 - 6t .V Velocity (m/s) -2 Time (s) What is the instantaneous acceleration at t = 1? O 1 m $2 0 0 m 2 O -1 m $ 2 O -2 m $ 2Which statement is true? O Speed and velocity are the same thing. 0 Velocity describes the speed and direction an object is moving. 0 Velocity is the same as position. O Velocity describes how fast the object is moving but not the object's direction. Bob is driving and his progress is shown on the graph. The graph shows how far he has gone over time. 5 4 3 2 1 Distance (miles) Time (minutes) What does the slope of the line tell you? O The slope of the line tells you Bob's distance. 0 The slope of the line tells you Bob's acceleration. O The slope of the line tells you Bob's velocity. 0 The slope of the line tells you Bob's displacement