Find speed and acceleration of truck

AI Thread Summary
To find the original speed and acceleration of a truck that covers 40m in 8.50s while slowing down to a final speed of 2.80m/s, the appropriate kinematic equations must be used. The original speed can be calculated using the formula d = (v1 + v2)/2 * t, which accounts for the average speed during deceleration. For acceleration, the formula a = (Vf - Vi)/t is applicable, but it requires the initial speed. The discussion emphasizes the interdependence of the formulas for initial speed and acceleration, leading to a solution through the average speed equation. This approach clarifies the calculations needed to determine both values accurately.
012435
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1. Homework Statement
a truck covers 40m in 8.50s while slowing down to a final speed of 2.80m/s


2. Homework Equations

find original speed
find it's acceleration

3. The Attempt at a Solution

for original speed i think it is 40m/8.50s= 4.7m/s
now for acceleration i am not sure which kinematic equation to use. i think it's Vf=Vi+at am i on the right track or no
 
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That's not right... for original speed.

d = vt only applies for constant speed situations...

you need a different equation to find the original speed.
 
so is the original speed then the same as the initial speed
 
yes, what equation do you know that relates velocity, initial velocity, and time?
 
well for acceleration you would use a= (Vf-Vi)/t
for initial speed would you use a=2(x-V1t)/t^2
 
012435 said:
well for acceleration you would use a= (Vf-Vi)/t
for initial speed would you use a=2(x-V1t)/t^2

Yes, but the acceleration formula here requires initial speed... the initial speed formula requires acceleration... so neither of these formulas let you get started...

you can calculate original speed immediately. which formula let's you get it?
 
can u set these two equations equal to each other, cancel acceleration and solve for Vi or am I making it more complicated
 
012435 said:
can u set these two equations equal to each other, cancel acceleration and solve for Vi or am I making it more complicated

d = (v1+v2)/2 * t

You can use this to get the original speed.
 
i get it ..thank u
 
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