A truck covers 80 m in 17 s while smoothly slowing down to a final speed

AI Thread Summary
The discussion revolves around calculating the initial speed and acceleration of a truck that covers 80 meters in 17 seconds while slowing down to a final speed of 5.6 m/s. The initial calculations yield an incorrect initial speed of 2.023 m/s, which contradicts the premise of slowing down since it should be higher than the final speed. Further attempts to solve the problem lead to confusion about the application of formulas and the correct interpretation of the truck's motion. Participants highlight that if the truck were to start at 5.6 m/s and travel for 17 seconds, it would cover a greater distance than 80 meters, indicating a flaw in the problem setup. The conversation emphasizes the need for clarity in the problem statement and accurate application of kinematic equations.
r-soy
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A truck covers 80 m in 17 s while smoothly slowing down to a final speed of 5.6 m/s
a ) find its original speed
b) Final its acceleration

I want check my answer :
a )

Dx = 80 m
t = 17 s
v = 5.6 m/s
v0= ??

by appling the rule

Dx = 1/2(v+v0)t
80 = 1/2(5.6 + v0) 17
v0 = .5 X 80 - 5.6 /17
=2.023 m/s

-------------

b)

v = v0 + at
5.6 = 2.023 + 17a
a = 5.6 -2.023/17 = 0.214

plese help me and wha thw unit of a will be ?
 
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Something seems wrong, as slowing down implies, well, that the initial speed was faster than the final. But 2.0 m/s is slower than 5.6 m/s.

If the speed is in m/s, and time in s what is the unit of acceleration? What is acceleration?
 
how ??
 
plese I want your help
 
now I try to sovle this queation by another way anf please help me If it correct or not



Dx = 1/2(v + v0)t

80=1/2(5.6+v0) 17

80 = 1/2(8.6 + 17v0)

80 = 4.25 + 17v0

v0 = 75.75/17 =4.45



plese check my answer .
 
r-soy said:
now I try to sovle this queation by another way anf please help me If it correct or not



Dx = 1/2(v + v0)t

80=1/2(5.6+v0) 17

80 = 1/2(8.6 + 17v0)
Where did 8.6 come from? Also, you multiplied v0 by 17, but you didn't also multiply 5.6.
r-soy said:
80 = 4.25 + 17v0

v0 = 75.75/17 =4.45



plese check my answer .
Please check that you have written the problem correctly. As given in the first post, it's not possible for the truck to slow down to 5.6 m/sec from a higher speed, and cover 80 m.

Think about it this way: Suppose the truck was moving at a constant speed of 5.6 m/sec. During the 17 seconds, the truck would have traveled 5.6 m/sec * 17 sec = 95.2 m.

On the other hand, if the truck started at a higher speed and slowed to 5.6 m/sec, it would have covered more than 95.2 m in the 17 seconds.
 
r-soy,
Are you going to follow up on this problem?
 
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