1.

A bus starting from rest masses with a uniform acceleration of 2 m/s for 4 minutes. a)find the speed acquired. b)find the distance travelled​

Answer»

ANSWER:

Given :

INITIAL velocity, U = 0 m/s (as it is starting from rest)

Acceleration, a = 2 m/s²

Time, t = 4 minutes

To find :

Speed acquired, v

Distance travelled, s

According to the question,

Note :

1 MINUTE = 60 seconds

4 minutes = 4 × 60 = 240 seconds

By using Newtons FIRST equation of motion,

➞ v = u + at

Where,

v = Final velocity

u = Initial velocity

a = Acceleration

t = Time

➞ Substituting the values,

➞ v = 0 + 2 × 240

➞ v = 0 + 480

➞ v = 480

So,the speed acquired is 480 m/s.

Now,

By using Newtons third equation of motion,

➞ s = ut + ½ at²

Where,

s = Distance

u = Initial velocity

a = Acceleration

t = Time

➞ Substituting the values,

➞ s = 0 × 240 + ½ × 2 × 240 × 240

➞ s = 0 + 57600

➞ s = 57600

So,the distance travelled is 57600 meters.



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