# Time for truck to go down ramp and reach point B

• MHB
• Porter Tawa
In summary: The easiest way to do this would be to use the equation for velocity change, $\Delta v = v_0 \cdot t - v_f$This would give you the truck's speed at the bottom of the ramp as $v_b = v_0 \cdot t - (f_k \cdot g)$
Porter Tawa
A 2000 kg truck is resting at the top of a parking lot ramp which is at a 15 degree slope. It is then shifted into Neutral and starts moving.
How long does it take the truck to get from A to B in seconds?

There is a 15 degree slope on the ramp.
uk is 0.08
Assume there is no air resistance.

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• Truck Ramp.jpg
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Homework not done here...

Have a look here:

I took a look at the link. It requires a paid membership and it does not discus the time it takes to get from point A to B.

Last edited:
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Porter Tawa said:
A 2000 kg truck is resting at the top of a parking lot ramp which is at a 15 degree slope. It is then shifted into Neutral and starts moving.
How long does it take the truck to get from A to B in seconds?

There is a 15 degree slope on the ramp.
uk is 0.08
Assume there is no air resistance.

You have accelerated motion from A down the ramp, then constant speed from the bottom of the ramp to B.

To determine acceleration down the ramp, note Newton's 2nd law ...
$F_{net} = ma = mg\sin{\theta} - f_k$

The kinematics equation for constant acceleration down the ramp would be $\Delta x = v_0 \cdot t - \dfrac{1}{2}at^2$
You're given the displacement down the ramp and you are also told the truck starts from rest. If you have calculated the magnitude of acceleration from the force equation above, then you should be able to determine the time required from point A to the ramp bottom.

To determine the time on the horizontal surface from the ramp bottom to B, you'll need to calculate the truck's speed at the ramp bottom. There are a couple of ways to calculate that speed value from other kinematics equations for constant acceleration.

## 1. How is the time for a truck to go down a ramp and reach point B calculated?

The time for a truck to go down a ramp and reach point B is calculated using the formula t = √(2h/g), where t is the time in seconds, h is the height of the ramp in meters, and g is the acceleration due to gravity (9.8 m/s²).

## 2. Does the weight of the truck affect the time it takes to go down the ramp?

Yes, the weight of the truck does affect the time it takes to go down the ramp. Heavier trucks will have a greater force of gravity acting on them, causing them to accelerate faster and reach point B in a shorter amount of time.

## 3. How does the angle of the ramp affect the time for the truck to reach point B?

The angle of the ramp does affect the time for the truck to reach point B. The steeper the angle, the shorter the distance the truck has to travel, resulting in a shorter time to reach point B. However, a steeper angle also means a greater force of gravity acting on the truck, which can affect the acceleration and ultimately the time it takes to reach point B.

## 4. Are there any external factors that can affect the time for a truck to go down a ramp and reach point B?

Yes, there are external factors that can affect the time for a truck to go down a ramp and reach point B. These include air resistance, friction on the ramp, and the condition of the truck's tires. These factors can slightly alter the acceleration and ultimately affect the time it takes for the truck to reach point B.

## 5. Can the time for a truck to go down a ramp and reach point B be affected by the surface of the ramp?

Yes, the surface of the ramp can affect the time for a truck to go down a ramp and reach point B. A smoother surface will result in less friction, allowing the truck to accelerate faster and reach point B in a shorter amount of time. A rougher surface will cause more friction, slowing down the truck and increasing the time it takes to reach point B.

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