Chapter 4, Problem 97A

(a)

To determine

To Find:The time does one car pass the other.

Answer to Problem 97A

The time does one car pass the other at time $t=3\text{ s and 8 s}$ .

Explanation of Solution

Here both cars A and B lines intersects on two points so there are two-time one car pass the other car.

From the graph, the time does one car pass the other at time $t=3\text{ s and 8 s}$ .

(b)

To determine

To Find: At time 7.0 s, the car which is moving faster than another car.

Answer to Problem 97A

The car A is moving faster at time 7.0s.

Explanation of Solution

From the graph:

At time 7.0 s, the slope of car A is greater than the car B. so at time 7.0s the car A is moving faster.

Conclusion:

The car A is moving faster at time 7.0s.

(c)

To determine

To Find:Time at which cars are moving same velocity.

Answer to Problem 97A

The cars are moving same velocity at time 5.0s.

Explanation of Solution

From the graph

At time 5.0 s, the slope of car A is equal to the car B. so at time 5.0s the car A and car B are moving same velocity.

Conclusion:

The car A and car B are moving same velocity at time 5.0s.

(d)

To determine

To Find:Time at which car B is speeding up.

Answer to Problem 97A

The car B is speeding up at no time.

Explanation of Solution

From the given graph

The slope of tangent of the car B is not increasing with time. So it is not speeding up any time.

Conclusion:

The car B is speeding up at no time.

(e)

To determine

Time at which car B is slowing down.

Answer to Problem 97A

The car B is slowing down at all time.

Explanation of Solution

From the graph

The slope of tangent of the car B is increasing with all time. So it is slowing down all time.

Conclusion:

The car B is slowing down all time.