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## Velocity and acceleration of a Ferrari !

A Ferrari covers120m from a standing start in 6sec at constant acceleration.Find its final velocity

u=0 (Since it starts from rest)

t= 6s

s=120m

a=?

v=?

from $\LARGE S=ut+\frac{1}{2}at^{2}$

$\LARGE a=\frac{2S}{t^{2}}$

a=2 x 120/36=6.67 m/s2

from v=u+at

v=40m/s

## A body is dropped from a tower of height 96 m. Another body is thrown up from the ground after a second with a velocity of 40 m/s.When and where they will meet?

A body is dropped from a tower of height 96 m. Another body is thrown up from the ground after a second with a velocity of 40 m/s. When and where they will meet?

For the first body,

u=0 m/s

Let S=x (from top)

x=0.5 gt ————— (1)

For the second body,

u=40 m/s

a=-g

S=96-x

96-x=40 t -0.5 gt2 ———–(2)

(1) + (2) =>

96=40t

or

t=96/40 = 2.4 s

x= 0.5 g t=28.224 m from top (taking g = 9.8 m/s2)

## Stone falling in a well

“what is the distance a rock will fall in 5 seconds inside a well bore?”

Ans:

Using

$S=ut+\frac{1}{2}at^{2}$
and taking u = 0 (if falling from rest)
and g= 10 m/s2

S= 125 m

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