select the correct answer. a motorcyclist changes the velocity of his bike from 20.0 meters/second to 35.0…

select the correct answer. a motorcyclist changes the velocity of his bike from 20.0 meters/second to 35.0 meters/second under a constant acceleration of 4.00 meters/second². how long does it take the bike to reach the final velocity? a. 2.02 seconds b. -2.02 seconds c. 3.75 seconds d. -3.75 seconds

select the correct answer. a motorcyclist changes the velocity of his bike from 20.0 meters/second to 35.0 meters/second under a constant acceleration of 4.00 meters/second². how long does it take the bike to reach the final velocity? a. 2.02 seconds b. -2.02 seconds c. 3.75 seconds d. -3.75 seconds

Answer

Explanation:

Step1: Identify the formula

We use the formula $v = v_0+at$, where $v$ is final - velocity, $v_0$ is initial - velocity, $a$ is acceleration and $t$ is time. We need to solve for $t$, so we can re - arrange the formula to $t=\frac{v - v_0}{a}$.

Step2: Substitute the values

Given $v = 35.0\ m/s$, $v_0 = 20.0\ m/s$ and $a = 4.00\ m/s^2$. Substitute these values into the formula: $t=\frac{35.0 - 20.0}{4.00}$.

Step3: Calculate the result

First, calculate the numerator: $35.0−20.0 = 15.0$. Then, divide by the denominator: $t=\frac{15.0}{4.00}=3.75\ s$.

Answer:

C. 3.75 seconds