Question

It takes you 5 hours to complete a 375 kilometer trip. What was your average speed on this trip? Henry takes a boat ride for 15 minutes to reach his destination. If the boat was traveling at 6 meters/second, how far did the boat travel? A storm is moving east towards your house at an average speed of 35 km/hr. If the storm is currently 80 kilometers from your house, in how much time do you expect it to arrive? If the velocity of an object changes from 15 m/s to 50 m/s during a time interval of 4 s, what is the acceleration of the object? If the acceleration in problem 4 is constant, what's the average velocity of the object in the previous problem? Using the information provided and calculation in problems 4 and 5, find the distance traveled within that 4 s period. A truck decelerates at a rate of 2 m/s2. If it starts with a velocity of 15 m/s, how long will it take to stop? An object with a starting velocity of 15 m/s accelerates at 3 m/s2. How far does the object travel within 10 seconds?

Answer 1

Number 6&8 are wrong

Number 6. is 130 m

Number 8. is 300 meters in 10 seconds

Explanation:

Answer 2

1. 75 kilometers per hour

2. 5.4 kilometers

3. I expect the storm to arrive 2.3 hours.

4. Acceleration = 8.75
`m/s^(2)`

5. 200 meters

6. The truck will take 7.5 seconds to stop

7. The object travels 150 meters within 10 seconds

Explanation:

1. Average speed =
`(distance)/(time)`

`= (375)/(5)`

= 75 kilometers per hour

2. Distance = speed × time

Time taken = 15 minutes

= 15 × 60

= 900 seconds

Distance = 6 × 900

= 5400 meters

= 5400/1000

= 5.4 kilometers

So, the boat traveled 5.4 kilometers.

3. Time =
`(distance)/(speed)`

=
`(80)/(35)`

= 2.286

So, I expect the storm to arrive in 2.3 hours.

4. Acceleration = Rate of change of velocity

=
`(50-15)/(4)`

=
`(35)/(4)`

= 8.75
`m/s^(2)`

5. Distance = speed × time

= 50 × 4

= 200 meters

6. Time =
`(velocity)/(acceleration)`

=
`(15)/(2)`

= 7.5 seconds

The truck will take 7.5 seconds to stop

7. Distance = Velocity × Time

= 15 × 10

= 150 meters

Hence, the object travels 150 meters within 10 seconds.