210k views
5 votes
A bicycle is going 2.6 m/s when it speeds up to 15.4 m/s in 8 seconds. What is the acceleration?​

User Aalexander
by
5.6k points

1 Answer

0 votes

Answer:

acceleration is 1.6 m/s^2

Step-by-step explanation:

This is a question involving Kinematics so we can use one of the kinematic equations.

Given info: Vi= 2.6 m/s. Vf= 15.4 m/s. T= 8s

We need to solve for acceleration

The best equation to use is (Vf = Vi + at) as it contains all the info we need to solve for acceleration.

Now substitute the values given into the equation.

Vf = Vi + at >> 15.4 = 2.6 + a8

Now solve for a by rearranging the equation.

15.4 -2.6= 8a >> 12.8=8a >> 12.8/8= 8a/8 >> 1.6 =a

NOTES:

Acceleration is the rate of increase of velocity

Vf is final velocity or velocity after acceleration/de-accaeleration occurs

Vi is intial velocity or velocity before acceleration or de-accaeleration occurs

Time is time it took for a certain motion to occur.

User Sofl
by
5.2k points