Calculating velocity on an inclined plane

In summary, a certain object will roll at a constant acceleration of 2 m/s each second on a plane angled in a particular way. The object's initial velocity is zero and after one second, its velocity will be 2 m/s. However, the object will only have traveled 1 meter during that time. This is because acceleration is measured in m/s^2 and not m/s, and the 5 kinematic or constant acceleration equations, such as v2^2 = v1^2 + 2aD, can be used to calculate the displacement of the object. With zero initial velocity and an acceleration of 2 m/s^2, the object will reach a speed of 2m/s after traveling 1 meter
  • #1
Bashyboy
1,421
5
So, this particular plane is angled so that a certain object will roll at a constant acceleration of 2 m/s each second. The object's initial velocity will be zero and in one second its velocity will be 2 m/s, but will only have traveled 1 m during that duration between zero and one seconds. Is this true because the object does not travel, initially, 2 m/s?
 
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  • #2
well aceleration is m/s^2 not m/s and you should use the 5 kinematic or constant acceleration equations
ie v2^2 = v1^2 +2aD
2^2 = 0 + 2(2)(D)
D=1
So the certain object will reach a speed of 2m/s with a accelertaion of 2m/s^2 in 1 meter.
And yes it is because the object is initially at rest
 
Last edited:
  • #3
velocity ≠ acceleration. For constant uniform acceleration a in one dimension, with zero initial velocity, the displacement s is:

s = at2/2
 

FAQ: Calculating velocity on an inclined plane

1. What is the formula for calculating velocity on an inclined plane?

The formula for calculating velocity on an inclined plane is v = √(2gsinθ), where v is the velocity, g is the acceleration due to gravity (9.8 m/s²), and θ is the angle of inclination.

2. How do you determine the angle of inclination on an inclined plane?

The angle of inclination on an inclined plane can be determined by measuring the height and length of the plane and using the formula θ = tan⁻¹(h/l), where θ is the angle of inclination, h is the height, and l is the length.

3. Can the velocity on an inclined plane be negative?

Yes, the velocity on an inclined plane can be negative. This indicates that the object is moving in the opposite direction of the slope, or downhill.

4. How does the mass of an object affect its velocity on an inclined plane?

The mass of an object does not affect its velocity on an inclined plane. All objects, regardless of their mass, will have the same velocity if they are released from the same height and angle of inclination.

5. Can you calculate velocity on an inclined plane without knowing the angle of inclination?

Yes, you can calculate velocity on an inclined plane without knowing the angle of inclination. You can use the formula v = √(2gh), where v is the velocity, g is the acceleration due to gravity, and h is the height of the inclined plane.

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