How far will a car coast up a slope before rolling back down?

In summary, a car traveling at 16.0 m/s on a 21.0 degree slope will coast for 13.06 meters before starting to roll back down. Trigonometry is needed to find the distance traveled up the hill.
  • #1
kappcity06
90
0
A car traveling at 16.0 m/s runs out of gas while traveling up a 21.0 degree slope.

How far up the hill will it coast before starting to roll back down?

I tried

1/2mv^2=mgh
1/2(16)^2=9.8h
13.06=h

can anyone confirm if this is correct or not. I;m not sure if I have to use trig to solve this or not.

help please.
 
Physics news on Phys.org
  • #2
looks good. the question is asking for the distance up the hill not just simply the height difference, so you'll have to use trig to find that.
 
  • #3
si it would be sin(21)=13.06/x

x being the hyp/answer?
 
  • #4
yea that was the answer
 

1. What is meant by "motion in 1 dimension?"

Motion in 1 dimension refers to the movement of an object along a straight line, also known as a one-dimensional path. This means that the object's position can only be described by a single coordinate, typically represented by the variable x.

2. What is the difference between distance and displacement in 1-dimensional motion?

Distance refers to the total length covered by an object in its motion, while displacement refers to the change in an object's position from its starting point. Displacement takes into account both the distance traveled and the direction of motion, whereas distance does not consider direction.

3. What is the formula for calculating average velocity in 1-dimensional motion?

The formula for average velocity in 1-dimensional motion is v = Δx/Δt, where v is velocity, Δx is the change in position, and Δt is the change in time. This formula gives the average rate at which an object's position changes over a certain period of time.

4. How does acceleration play a role in 1-dimensional motion?

Acceleration is the rate at which an object's velocity changes over time. In 1-dimensional motion, acceleration can either be positive (speeding up) or negative (slowing down). It is calculated using the formula a = Δv/Δt, where a is acceleration, Δv is the change in velocity, and Δt is the change in time.

5. Can an object have a constant velocity and still be accelerating in 1-dimensional motion?

Yes, an object can have a constant velocity and still be accelerating in 1-dimensional motion if the direction of its motion is changing. This is known as centripetal acceleration, which occurs when an object moves in a circular or curved path. Although the object's speed may be constant, its velocity is constantly changing due to the change in direction.

Similar threads

A cylinder of snow rolls down a hill gathering more snow -- calculate its speed
    • Introductory Physics Homework Help
2
Replies
39
Views
2K
How far will the car coast?
    • Introductory Physics Homework Help
Replies
8
Views
3K
How to find distance when a ball rolls slope with angle?
    • Introductory Physics Homework Help
Replies
1
Views
747
How far up the hill will it coast before starting to roll back down?
    • Introductory Physics Homework Help
Replies
4
Views
14K
MHB Find Coefficient of Friction for Toy Car Rolling Down Slope
    • General Math
Replies
6
Views
1K
How to calculate the kinematics of an object pushed up an inclinex plane?
    • Introductory Physics Homework Help
Replies
7
Views
885
Calculating the Distance a Rock Travels Up a Sloped Hill
    • Introductory Physics Homework Help
Replies
7
Views
985
Final velocity of a car rolling down a ramp using energy
    • Introductory Physics Homework Help
Replies
1
Views
3K
Sphere rolling down incline then up incline?
    • Introductory Physics Homework Help
Replies
5
Views
1K
Writing: Input Wanted Turning an interstellar ship around before reaching coasting speed?
    • Sci-Fi Writing and World Building
Replies
15
Views
1K

Hot Threads

Recent Insights

Back
Top