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dlinn [17]
3 years ago
6

A runner slows down from a 9.50 m/s at a rate of 2.30 m/s^2 . (a) How far does she travel in the next 6.00 s? (b) What is her fi

nal velocity? (c) Evaluate the result. Does it make sense?
Physics
1 answer:
nasty-shy [4]3 years ago
8 0

Answer:

(a) d = 15.6 m

(b) v' = - 4.3 m/s

Given:

Initial velocity, v = 9.50 m/s

Acceleration, a = - 2.30 m/s^{2] or deceleration = 2.30m/s^{2}

Solution:

(a) For the calculation of the distance covered, we use eqn (2) of motion:

d = vt + \frac{1}{2}at^{2}

where

d = distance covered in time t

t = 6 s (Given)

Now,

d = 9.50\times 6 - \frac{1}{2}\times 2.30times 6^{2}

d = 15.6 m

(b) For the calculation of her final velocity, we use eqn 1 of motion:

v' = v + at

v' = 9.50 + (- 2.30)(6) = - 4.3 m/s

(c) Since, the final velocity after the body slows down comes out to be negative and the distance covered and displacement of the body are different, it does not make sense.

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