A truck starts from rest and moves with a constant acceleration.
During the 5th second of its motion, it covers a distance of 36
meters. What is the acceleration of the truck?
A. 8 m/s^2
B.12m/s^2
C. 16 m/s^2
D. 20 m/s^2
E. 24 m/s^2
Answers
Answer:
You must mean to say the truck covers 36 meters (not kilometers) in the 5th second. 36 kilometers is impossible on Earth for a truck in one second. Even 36 meters (in 5th second) is beyond any truck’s actual Earthbound capability, but I will use it, and the answer will be an unreasonable number.
In the below equations
s is distance.
a is acceleration.
t is time.
In 4 seconds, the truck covers
s = 1/2 at^2
s = 1/2 (a) 4^2
s = 1/2 (a) (16)
s = 8 (a) meters
In 5 seconds, the truck covers
s = 1/2 a t^2
s = 1/2 (a) 5^2
s = 1/2 (a) 25
s = 12.5 (a) meters
The distance covered in 5 seconds minus the distance covered in 4 seconds is the distance (36 meters) covered in the 5th second.
36 = 12.5 a - 8 a
36 meters = 4.5 seconds^2 (a) acceleration of truck = 8m/s^2
Answer:
You must mean to say the truck covers 36 meters (not kilometers) in the 5th second. 36 kilometers is impossible on Earth for a truck in one second. Even 36 meters (in 5th second) is beyond any truck’s actual Earthbound capability, but I will use it, and the answer will be an unreasonable number.
In the below equations
s is distance.
a is acceleration.
t is time.
In 4 seconds, the truck covers
s = 1/2 at^2
s = 1/2 (a) 4^2
s = 1/2 (a) (16)
s = 8 (a) meters
In 5 seconds, the truck covers
s = 1/2 a t^2
s = 1/2 (a) 5^2
s = 1/2 (a) 25
s = 12.5 (a) meters
The distance covered in 5 seconds minus the distance covered in 4 seconds is the distance (36 meters) covered in the 5th second.
36 = 12.5 a - 8 a
36 meters = 4.5 seconds^2 (a)
a = acceleration = 8 m/s^2