A vehicle with a mass of 2 tons travels on a horizontal road at a speed of 126km/h.The driver notices a donkey at the side of the road and decides to reduce speed. The brakes are applied and the vehicle slows down to 72km/h after 5 seconds. Calculate the distance travelled during the acceleration .calculate the initial momentum of the vehicle

acceleration = change in velocity/change in time

Your velocity decreased by 54 km/hr in 5 seconds. Before doing the division, you will have to change 1 hour to seconds or 5 seconds to a portion of an hour. You need like units.

To calculate the inital momentum of the vehicle tons should be changed to kilograms. What else do you have to change to get the proper units for momentum?

To calculate the distance traveled during acceleration, we can use the formula:

distance = initial velocity * time + (1/2) * acceleration * time^2

In this case, the initial velocity is 126 km/h, the final velocity is 72 km/h, and the time is 5 seconds. We need to convert the velocities to meters per second, as the formula requires the units to be consistent.

1 km/h = (1/3.6) m/s

So, the initial velocity in meters per second is:

initial velocity = 126 km/h * (1/3.6) = 35 m/s

And the final velocity is:

final velocity = 72 km/h * (1/3.6) = 20 m/s

Now, we need to calculate the acceleration. The formula to find acceleration is:

acceleration = (final velocity - initial velocity) / time

Substituting the values, we get:

acceleration = (20 m/s - 35 m/s) / 5 s = -3 m/s² (negative sign signifies deceleration)

Using the formula for distance, we can calculate:

distance = 35 m/s * 5 s + (1/2) * (-3 m/s²) * (5 s)^2
= 175 m + (1/2) * (-3 m/s²) * 25 s²
= 175 m - (1/2) * 75 m
= 175 m - 37.5 m
= 137.5 m

Therefore, the distance traveled during the acceleration is 137.5 meters.

To calculate the initial momentum of the vehicle, we can use the formula:

momentum = mass * velocity

The mass of the vehicle is given as 2 tons. We need to convert it to kilograms, as the formula requires the SI unit.

1 ton = 1000 kg

So, the mass of the vehicle in kilograms is:

mass = 2 tons * 1000 kg/ton = 2000 kg

The initial velocity is 126 km/h, which is already given in meters per second. Therefore, we can directly use the formula:

momentum = mass * velocity = 2000 kg * 35 m/s = 70000 kg·m/s

Therefore, the initial momentum of the vehicle is 70000 kg·m/s.