Question

A car traveling 25 m/s to the Noye. It has an acceleration of 2 m/s squared to the South for a duration of 20 seconds. What is the displacement of the car?

Answer 1

To calculate the displacement of the car traveling northward but accelerating southward, we use the equation s = ut + ½ at², which, after plugging the given values and taking direction into account, results in a displacement of 100 meters to the north from the starting point.

Step-by-step explanation:

The student is asking about calculating the displacement of a car moving northward but accelerating southward. To find the displacement of the car, we use the kinematic equation for uniformly accelerated motion, which is:

s = ut + ½ at²

Where:

However, since acceleration is towards the south and initial velocity towards the north, one of the values should be considered negative to account for the opposite directions. In this case, let's consider acceleration as negative. Now plugging the values into the formula:

s = (25 m/s)(20 s) - ½ (2 m/s²)(20 s)²

s = 500 m - 1/2 (2)(400) m

s = 500 m - 400 m

s = 100 m (to the north from the starting point)

The displacement of the car is 100 meters to the north.