Question

If rocket-powered sled is accelerated to a speed of 400 m/s in 2 sec, then what is acceleration

and what is the distance that the sled travels?​

Answer 1

Answer:

2 hours mint 5 second correct answer

Answer 2

Required Answer :

Acceleration of the rocket powered sled = 200 m/s²

The distance travelled by the sled = 400 m

Given :

• Initial velocity = 0 m/s
• Final velocity = 400 m/s
• Time = 2 seconds

To find :

• Acceleration
• Distance travelled

Solution :

To calculate the acceleration of the rocket powered sled, we will use the first equation of motion.

First equation of motion :

• v = u + at

where,

• v = Final velocity
• u = Initial velocity
• a = Acceleration
• t = Time

Substituting the given values :

⇒ 400 = 0 + (a)(2)

⇒ 400 = a × 2

⇒ 400/2 = a

⇒ 200 = a

Acceleration of the rocket powered sled = 200 m/s²

Now, we will calculate the distance travelled by the sled. We will use the third equation of motion to calculate it.

Third equation of motion :

• v² - u² = 2as

where,

• v = Final velocity
• u = Initial velocity
• a = Acceleration
• s = Distance

Substituting the given values :

⇒ (400)² - (0)² = 2(200)(s)

⇒ (400)² = 400 × s

⇒ (400 × 400)/400 = s

⇒ 400 = s

Therefore, the distance travelled by the sled = 400 m