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Calculate the acceleration needed by a car which has a velocity of
10m/s. The car’s velocity increases
to 15m/s in 80m?


Sagot :

Answer:

a = 0.78 m/s²

Explanation:

Let a = acceleration, u = initial velocity of the car = 10m/s, v = final velocity of the car = 15m/s and

s = distance covered = 80m.

Using equation of motion:

v² = u² + 2as

2as = v² - u²

[tex]a = \frac{ {v}^{2} - {u}^{2} }{2s} [/tex]

[tex]a = \frac{ {15}^{2} - {10}^{2} }{2 \times 80} = \frac{225 - 100}{160} [/tex]

[tex]a = \frac{125}{160} [/tex]

a = 0.78125 m/s²

a = 0.78 m/s²

The acceleration needed by a car is 0.78 m/