Question

An antelope starts at rest and begins accelerating at a rate of 2 m/s2 for 6 seconds. How far did he travel? d= Vi= t= a=

Answer 1

Using the distance formula for constant acceleration from rest, the antelope traveled 36 meters in 6 seconds when accelerating at 2 m/s².

Step-by-step explanation:

To find out how far the antelope traveled, we can use the formula for distance covered under constant acceleration starting from rest, which is:

d = (Vi × t) + (0.5 × a × t²)

Where:

d is the distance,

Vi is the initial velocity,

t is the time,

a is the acceleration.

Given that the antelope starts at rest, Vi = 0 m/s. The time (t) is 6 seconds, and the acceleration (a) is 2 m/s². We can plug these values into the equation:

d = (0 m/s × 6 s) + (0.5 × 2 m/s² × (6 s)²)

d = 0 + (0.5 × 2 m/s² × 36 s²)

d = 1 × 36 m

d = 36 meters

Therefore, the antelope traveled 36 meters in 6 seconds.