f a pronghorn antelope accelerates from rest in a straight line with a constant acceleration of 1.5 m/s2 , how long does it take for the antelope to reach a speed of 20 m/s?
To find the time it takes for the pronghorn antelope to reach a speed of 20 m/s, we can use the equation of motion:
\(v = u + at\)
Where:
- \(v\) is the final velocity (20 m/s)
- \(u\) is the initial velocity (0 m/s, as the antelope starts from rest)
- \(a\) is the constant acceleration (1.5 m/s²)
- \(t\) is the time we need to find
Rearranging the equation, we get:
\(t = (v - u) / a\)
Substituting the given values:
\(t = (20 - 0) / 1.5\)
Simplifying the equation, we find:
\(t = 20 / 1.5 \approx 13.33\) seconds
Therefore, it takes approximately 13.33 seconds for the pronghorn antelope to reach a speed of 20 m/s.