Question

The speed of a car when passing a point p is 30 m ⁻¹ and changes uniformly over a distance of 323 m to 60 m ⁻¹ . calculate the speed of the car 3 after passing p?

Answer 1

The speed of the car 3 seconds after passing point P is 60 m/s.

Step-by-step explanation:

To calculate the speed of the car 3 seconds after passing point P, we need to use the formula for constant acceleration. The initial speed of the car is 30 m/s, the final speed is 60 m/s, and the distance is 323 m. We can use the formula:

final speed = initial speed + acceleration * time

Using this formula, we can rearrange it to solve for acceleration:

acceleration = (final speed - initial speed) / time

Substituting the values into the formula:

acceleration = (60 m/s - 30 m/s) / 3 s

acceleration = 10 m/s²

Now we can use the formula for constant acceleration to find the speed of the car 3 seconds after passing point P:

speed = initial speed + acceleration * time

Substituting the values:

speed = 30 m/s + 10 m/s² * 3 s

speed = 30 m/s + 30 m/s

speed = 60 m/s