Question

a sled is moving with a velocity of 8m/s. The sled slows to a stop over a time of 4s, covering a distance of 16m. What is the sleds acceleration

Answer 1

Given:-

• Initial velocity, u = 8 m/s

• Time taken, t = 4 s

• Distance covered, s = 16 m

To be calculated:-

Calculate the acceleration ,a .

Formula used:-

s = ut + 1/2 at²

Solution:-

According to the second equation of motion, we have

s = ut + 1/2 at²

★Substituting the values in the above formula,we get:

⇒ 16 = 8 × 4 + 1/2 × a × 4

⇒ 16 = 32 + 2a

⇒ 2a = 16 - 32

⇒ 2a = -16

⇒ a = -16/2

⇒ a = -8 m/s²

Hence,the acceleration is -8 m/s² .