asked by tejbala3742, 2 days ago

# What is the acceleration of a mountain bike if it slows down from 9.4 m/s to 3.0 m/s in a time of 3.75 s?

7

Explanation:

acc. = final velocity - initial velocity/time interval

= 3 - 9.4/3.75

= -6.4/3.75

approximately = - 1.71

23

• Acceleration of mountain bike will be -1.7 m/s².

### Explanation:

Given

• Initial velocity of bike, u = 9.4 m/s
• Final velocity of bike, v = 3.0 m/s
• Time taken for changing velocity, t = 3.75 s

To find

• Acceleration of Bike, a =?

Formula required

• First equation of motion

v = u + a t

[ where v is final velocity, u is initial velocity, a is acceleration and t is time taken ]

Calculation

Using first equation of motion

→ v = u + a t

→  3.0 = 9.4 + a ( 3.75 )

→ 3.75  a = 3.0  -  9.4

→ 3.75  a = -6.4

→ a = -6.4 / 3.75

a = -1.7  m/s²  [approx.]

Therefore,

• Acceleration of mountain bike will be -1.7 m/s².

[ negative sign shows that Bike is decelerating ]

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