Sat Physics subject questions on graphical analysis of motion with detailed solutions, similar to the questions in the SAT test are presented. Answers at the bottom of the page.

Question 1 to 4 refer to the displacement vs time below.

The graph of the position x versus time t of a moving object is shown in figure 1 above . On which time interval(s) is the velocity of the moving object equal to zero?

A) (0 , 1)

B) (1 , 4)

C) (4 , 6)

D) (6 , 9)

E) (9 , 11)

The graph of the position x versus time t of a moving object is shown in figure 1 above . At what time was the object furthest from the origin (x = 0)?

A) t = 1 s

B) t = 4 s

C) t = 6 s

D) t = 9 s

E) t = 11 s

The graph of the position x versus time t of a moving object is shown in figure 1 above . Over which time interval(s) was the object moving in the negative direction?

A) (6 , 11)

B) (0 , 1)

C) (1 , 4)

D) (4 , 11)

E) (4 , 9)

The graph of the position x versus time t of a moving object is shown in figure 1 above . Over which time interval(s) was the object moving in the positive direction?

A) (0 , 1) and (9 , 11)

B) (0 , 6)

C) (1 , 4) and (6 , 11)

D) (0 , 4) and (4 , 9)

E) (0 , 11)
Question 5 to 10 refer to the displacement vs time below.

The graph of the velocity v versus time t of a moving object is shown in figure 2 above. What is the total displacement from t = 0 to t = 9 seconds?

A) -2.5 m

B) 2.5 m

C) 0 m

D) 9 m

E) 15 m

The graph of the velocity v versus time t of a moving object is shown in figure 2 above. What is the total distance covered by the object from t = 0 to t = 9 seconds?

A) 9 m

B) 5 m

C) 7.5 m

D) 30 m

E) 15 m

The graph of the velocity v versus time t of a moving object is shown in figure 2 above. What is the average velocity over the interval t = 0 to t = 9 seconds?

A) 0.6 m/s

B) 0 m/s

C) 5 m/s

D) 1.5 m/s

E) 9 m/s

The graph of the velocity v versus time t of a moving object is shown in figure 2 above. What is the average speed over the interval t = 0 to t = 9 seconds?

A) 1.7 m/s

B) 9 m/s

C) 5 m/s

D) 7.5 m/s

E) 15 m/s

The graph of the velocity v versus time t of a moving object is shown in figure 2 above. Over which time interval(s) was the object accelerating uniformly?

A) (6 , 9)

B) (4 , 6)

C) (3 , 4) and (6 , 7)

D) (0 , 1) and (7 , 9)

E) (0 , 9)

The graph of the velocity v versus time t of a moving object is shown in figure 2 above. Over which time interval(s) was the acceleration of the object equal to zero?

A) (1 , 4)

B) (4 , 7)

C) (1 , 4)

D) (6 , 9)

E) (1 , 3) and (4 ,6)
Question 11 to 12 refer to the displacement vs time below.

The graph of the acceleration v versus time t of a moving object is shown in figure 3 above. Over which time interval(s) was the object accelerating uniformly?

A) (0 , 9)

B) (0 , 2)

C) (2 , 4)

D) (2 , 9)

E) (4 , 8)

The graph of the acceleration v versus time t of a moving object is shown in figure 3 above. Over which time interval(s) was the object decelerating uniformly?