Question

racing car has a uniform
acceleration of 4m/s². What is
the distance
covered after
10 seconds​

Answer 1

Step-by-step explanation:

A racing car has a uniform acceleration of 4m/s square. What distance will it cover in 10 seconds after the start?

Question: A racing car has a uniform acceleration of 4m/s². What distance will it covering 10 seconds after the start?

Uniform acceleration a = 4 m/s²

Initial velocity u= 0 m/s

Time t = 10 sec.

Velocity v after 10 sec= u + a t = 0 m/s + 4 m/s² × 10 s =40 m/s.

We shall calculate the distance covered by all possible methods

Using Average Velocity:

Initial velocity u= 0 m/s

Final velocity v= 40 m/s

Average velocity= ½( u +v) = ½ ( 0+40)= 20 m/s

Time= 10 s

Distance covered in 10 s= av. vel. × time= 20m/s × 10s = 200 m

Using the relation s = u t+ ½ a t²

u = 0 m/s, a = 4 m/s², t= 10 sec.

s = 0×10 + ½ 4× 10² = 200 m

Using the relation v² - u² = 2 a s,

u = 0 m/s, v= 40 m/s, a= 4 m/s²

s = 1/2 a ( v² - u²)= 1/2×4 ( 40² - 0²) = 1/8(1600–0)= 1600/8= 200 m.

So all relations give the same results as it should.

Answer 2

Hey Mate!

Here is your answer

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here initial velocity=u

final velocity=v

acceleration=a

time=t

u=0

a=4

t=10

use the first equation of motion i.e -v=u+at

v=0+40

v=40m/s

now use third equation of motion i.e-2as=v^2-u^2

2*4*s=1600

s+1600/8=200m

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