Determine what speed the cyclist develops in a time equal to 10 s
Determine what speed the cyclist develops in a time equal to 10 s, moving from rest with an acceleration of 0.3 m / s ^ 2. How far will he travel in this time?
V0 = 0 m / s.
t = 10 s.
a = 0.3 m / s2.
V -?
S -?
With uniformly accelerated acceleration, the cyclist’s speed V is determined by the formula: V = V0 + a * t, where V0 is the initial speed of movement, a is the acceleration during acceleration, t is the acceleration time.
V = 0 m / s + 0.3 m / s2 * 10 s = 3 m / s.
The distance S traveled by him with uniformly accelerated motion is expressed by the formula: S = V0 * t + a * t ^ 2/2.
S = 0 m / s * 10 s + 0.3 m / s2 * (10 s) ^ 2/2 = 15 m.
Answer: the cyclist will travel the path S = 15 m and his speed at the end of the path will become V = 3 m / s.