How Do You Calculate Average Speed During Acceleration?

[snowbelle]

a car is moving at a constant speed of 11 m/s when the driver presses down the gas pedal and accelerates for 10 s with an acceleratiojn of 1.9 m/s. what is the average speed of the car during the period? I don't know which formula to use inorder to solve it. I tried using vbar= vo + v/2 and vbar= delta X/delta t but its wrong

 

[Fermat]

To find the average of two numbers (values) just add them together and divide by 2.

 

[quicknote]

To calculate the average speed of an object, we use the formula v = d/t, where v is the average speed, d is the distance traveled, and t is the time taken. In this case, the car is initially traveling at a constant speed of 11 m/s, so the initial velocity (vo) is 11 m/s. Then, the car accelerates for 10 seconds with an acceleration (a) of 1.9 m/s^2. Using the formula v = vo + at, we can calculate the final velocity (vf) after 10 seconds of acceleration.

vf = vo + at
vf = 11 m/s + (1.9 m/s^2)(10 s)
vf = 11 m/s + 19 m/s
vf = 30 m/s

Now, we can calculate the average speed of the car during this period using the formula v = d/t. The distance traveled (d) during the 10 seconds of acceleration can be calculated using the formula d = vo*t + 1/2*a*t^2.

d = (11 m/s)(10 s) + 1/2*(1.9 m/s^2)(10 s)^2
d = 110 m + 95 m
d = 205 m

Therefore, the average speed of the car during this period is:

v = d/t
v = 205 m / 10 s
v = 20.5 m/s

So, the average speed of the car during the 10 seconds of acceleration is 20.5 m/s. I hope this helps you solve the problem.