Question

Which two statements about the motion of this toy car are correct?

a) the entire trip took 3 seconds.
b) the toy car traveled a total distance of 20 m.
c) the toy car did not begin moving for 6 seconds.
d) the toy car had the greatest speed from 6-8 seconds.
e) the toy car had the greatest speed from 12-16 seconds.
f) the toy car was at rest two times during this trip down the hall.

Answer 1

The correct statements about the motion of the toy car are:

b) the toy car traveled a total distance of 20 m.

f) the toy car was at rest two times during this trip down the hall.

Step-by-step explanation:

The statement b) is correct as it provides a quantifiable measurement of the car's motion. If we use the formula
`\( \text{speed} = \frac{\text{distance}}{\text{time}} \),` and we're given the entire trip took 3 seconds, the speed of the car can be calculated. Since we're given the total distance traveled is 20 meters, the average speed
`\( \text{speed} = \frac{20 \, \text{m}}{3 \, \text{s}} \)`. This calculates to
`\( (20)/(3) = 6.\overline{6} \)` meters per second (m/s), providing a quantitative understanding of the car's motion.

Regarding statement f), if the car is at rest, its speed is zero. From the given information, we can ascertain the moments when the car is at rest. If the car traveled a total distance of 20 meters in 3 seconds, we can calculate its speed using the formula mentioned earlier. During this time, the car's speed would be
`\( \frac{20 \, \text{m}}{3 \, \text{s}} = 6.\overline{6} \, \text{m/s} \).`Analyzing this speed against the given time intervals, the car would have been at rest during specific durations to achieve an average speed of
`\( 6.\overline{6} \, \text{m/s} \)`.

Therefore, statement b) directly addresses the distance traveled, while statement f) accurately depicts the instances when the car was at rest during its journey down the hall. These statements provide the most precise understanding of the toy car's motion during the given time frame.