Question

I slip accelerating at a rate of 2 m/s^2 until I fall over. This slip took me one second. How far did I slip, and what is my displacement? Include direction.

Answer 1

The student slipped a distance and displacement of 1 meter in the direction of the acceleration which is 2 m/s2 after slipping for 1 second.

Step-by-step explanation:

To calculate how far the student has slipped and their displacement, we can use the kinematic equation for uniformly accelerated motion, which is displacement (s) = ut + (1/2)at2, where u is the initial velocity, a is the acceleration, and t is the time.

In this case, the initial velocity (u) is 0 m/s (since the student starts slipping from rest), the acceleration (a) is 2 m/s2, and the time (t) is 1 second. Using these values:

Displacement (s) = 0 m/s × 1 s + (1/2) × 2 m/s2 × (1 s)2

This simplifies to:

Displacement (s) = 1 m

The student slipped for a distance of 1 meter. The displacement, which includes the direction, is 1 meter in the direction of the slip, typically the direction of the acceleration.