Enroll in one of our FREE online STEM summer camps. Space is limited so join now!View Summer Courses

University of Houston

Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Problem 15
Problem 16
Problem 17
Problem 18
Problem 19
Problem 20
Problem 21
Problem 22
Problem 23
Problem 24
Problem 25
Problem 26
Problem 27
Problem 28
Problem 29
Problem 30
Problem 31
Problem 32
Problem 33
Problem 34
Problem 35
Problem 36
Problem 37
Problem 38
Problem 39
Problem 40
Problem 41
Problem 42
Problem 43
Problem 44
Problem 45
Problem 46
Problem 47
Problem 48
Problem 49
Problem 50
Problem 51
Problem 52
Problem 53
Problem 54
Problem 55
Problem 56
Problem 57
Problem 58
Problem 59
Problem 60
Problem 61
Problem 62
Problem 63
Problem 64
Problem 65
Problem 66
Problem 67
Problem 68
Problem 69
Problem 70
Problem 71
Problem 72
Problem 73
Problem 74
Problem 75
Problem 76
Problem 77
Problem 78
Problem 79
Problem 80
Problem 81

Need more help? Fill out this quick form to get professional live tutoring.

Get live tutoring
Problem 71

Acceleration At the instant the traffic light turns green, a car that has been waiting at an intersection starts with a constant acceleration of 6 feet per second per second. At the same instant, a truck traveling with a constant velocity of 30 feet per second passes the car.

(a) How far beyond its starting point will the car pass the truck?

(b) How fast will the car be traveling when it passes the truck?

Answer

see explanation

You must be logged in to like a video.

You must be logged in to bookmark a video.

## Discussion

## Video Transcript

question everyone looking at the speed of a truck and a core. So the car they are giving us on, um, acceleration, acceleration of the car and six feet her seconds Where so fine that the, um speed or the velocity we would take the integral of six feet per second's were, which would just give us six t since the these a 00 So our Constance can take care of themselves in this problem and then our x simply are ex empty our position. Gumption, e equals that would be 16 square times, 1/2 game three he squared. And again, I don't worry about mine. Own Constance. Now with the truck, I'm starting out with a B T and that's 30. I'm second position. Function would then be integral of that. Thank you. So now I want to find out When work the distance is equal to each other. I guess that my position functions of each other. Three. He's squared 30 really t squared minus 30 zero. Factor out a three t yet T minus 10 zero t Either equal zero or 10. We're not interested in zero, so e equals 10. That would be in seconds and then part B, we're looking at, um Oh, sorry. Student finished party. I'm so you know that that that 12th. So now I have to put that in our position function. So three times 10 squared. 300. And that will be in no. Three. So then part is asking us to speed. So they put that in my velocity. 56 finds him eat 16 times and we know t to be 10 seconds. That really 10 eaten 16. But that's a week from second. You should really tell us. So we want to change that miles per hour. So do that. 16 feet per second. Times 3600 seconds. Divine by 50 5180 feet in a mile. And when we do that, we get the approximately 41 month

## Recommended Questions