Iriannagonzalez79idn
Answered

Get the information you need from a community of experts on IDNLearn.com. Get accurate and detailed answers to your questions from our dedicated community members who are always ready to help.

## Chapter Problems: Motion at Constant Speed

### Class Work

1. A rabbit can cover a distance of 80 m in 5 s. What is the speed of the rabbit?

2. During the first 50 s, a truck traveled at a constant speed of 25 m/s. Find the distance that it traveled.

3. An elevator ascends at a constant speed of 4 m/s. How much time is required for the elevator to travel 120 m upwards?

4. A racing car can complete a 900 m long lap in 15 s. What is the speed of the car?

5. It is known that a shark can travel at a speed of 15 m/s. How far can a shark go in 10 seconds?

Sagot :

GinnyAnsweridn
Let's go through each problem step-by-step:

### Problem 1:
A rabbit can cover a distance of 80 meters in 5 seconds. We need to find the speed of the rabbit.

We use the formula for speed:
[tex]\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \][/tex]

Plugging in the values:
[tex]\[ \text{Speed} = \frac{80 \, \text{m}}{5 \, \text{s}} = 16 \, \text{m/s} \][/tex]

So, the speed of the rabbit is [tex]\( 16 \, \text{m/s} \)[/tex].

### Problem 2:
During the first 50 seconds, a truck traveled at a constant speed of 25 m/s. We need to find the distance it traveled.

We use the formula for distance:
[tex]\[ \text{Distance} = \text{Speed} \times \text{Time} \][/tex]

Plugging in the values:
[tex]\[ \text{Distance} = 25 \, \text{m/s} \times 50 \, \text{s} = 1250 \, \text{m} \][/tex]

So, the distance the truck traveled is [tex]\( 1250 \, \text{m} \)[/tex].

### Problem 3:
An elevator ascends at a constant speed of 4 m/s. We need to find how much time is required for the elevator to travel 120 meters upwards.

We use the formula for time:
[tex]\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \][/tex]

Plugging in the values:
[tex]\[ \text{Time} = \frac{120 \, \text{m}}{4 \, \text{m/s}} = 30 \, \text{s} \][/tex]

So, the time required for the elevator to travel 120 meters is [tex]\( 30 \, \text{s} \)[/tex].

### Problem 4:
A racing car can complete a 900-meter-long lap in 15 seconds. We need to find the speed of the car.

We use the formula for speed:
[tex]\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \][/tex]

Plugging in the values:
[tex]\[ \text{Speed} = \frac{900 \, \text{m}}{15 \, \text{s}} = 60 \, \text{m/s} \][/tex]

So, the speed of the car is [tex]\( 60 \, \text{m/s} \)[/tex].

### Problem 5:
It is known that a shark can travel at a speed of 15 m/s. We need to find how far the shark can go in 10 seconds.

We use the formula for distance:
[tex]\[ \text{Distance} = \text{Speed} \times \text{Time} \][/tex]

Plugging in the values:
[tex]\[ \text{Distance} = 15 \, \text{m/s} \times 10 \, \text{s} = 150 \, \text{m} \][/tex]

So, the shark can travel [tex]\( 150 \, \text{m} \)[/tex] in 10 seconds.

### Summary:
1. Speed of the rabbit: [tex]\( 16 \, \text{m/s} \)[/tex]
2. Distance the truck traveled: [tex]\( 1250 \, \text{m} \)[/tex]
3. Time required for the elevator: [tex]\( 30 \, \text{s} \)[/tex]
4. Speed of the racing car: [tex]\( 60 \, \text{m/s} \)[/tex]
5. Distance the shark can travel: [tex]\( 150 \, \text{m} \)[/tex]
Thank you for contributing to our discussion. Don't forget to check back for new answers. Keep asking, answering, and sharing useful information. Thank you for choosing IDNLearn.com for your queries. We’re here to provide accurate answers, so visit us again soon.