Question

ed test prep

1. a delivery truck drivers round-trip route from the warehouse takes him 3 km east, then 1 km north, then 3 km west, then 1 km south. which of the following statements is correct?

(a) the displacement of the round trip is zero.
(b) the distance of the round trip is 6 km.
(c) after driving 3 km east and 1 km north, the distance and displacement are the same.
(d) after driving 3 km east and 1 km north, displacement of the distance and displacement are the same.
(e) none of the above

1. a runner completes a 10.0 km race in exactly 30 minutes. whats the runners average speed in km/h? (60 minutes = 1 hour)

(a) 10.0 km/h
(b) 20.0 km/h
(c) 15.0 km/h
(d) 5.00 km/h

1. which of the following is not a vector quantity?

(a) velocity
(b) displacement
(c) distance
(d) acceleration
(e) none of the above

1. based on the speed-time graph shown at the left, what is the acceleration during the first 2 seconds?

(a) 1 m/s2
(b) 2 m/s2
(c) 3 m/s2
(d) 5 m/s2
(e) 10 m/s2

1. a race car drives around a circular race track at constant speed. which of the following statements is true?

(a) a speed-time graph of the cars motion would be a horizontal line.
(b) a distance-time graph of the cars motion would be a straight line with a positive slope.
(c) the velocity of the car is constantly changing.
(d) the car is constantly accelerating.
(e) all of the above

Explanation:

1.

Step1: Analyze displacement

Displacement is net change in position. Starting/ending at warehouse: $\Delta x = 0$

Step2: Analyze distance

Distance is total path length: $3 + 1 + 3 + 1 = 8$ km

Step3: Evaluate options

Only statement (A) is correct.

Step1: Convert time to hours

30 minutes = $\frac{30}{60} = 0.5$ hours

Step2: Calculate average speed

Speed = $\frac{\text{Total Distance}}{\text{Total Time}} = \frac{10.0}{0.5}$

Step1: Define vector/scalar quantities

Vectors have magnitude + direction; scalars only magnitude.

Step2: Classify options

Velocity, displacement, acceleration are vectors. Distance is scalar.

Answer:

(A) The displacement of the round trip is zero.

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