contestada

Starting from rest and moving in a straight line, a cheetah
can achieve a velocity of 31 m/s (approximately 69 mph!) in
4 seconds. What is the average acceleration of the cheetah?

Respuesta :

The average acceleration of the cheetah is 7.75 m/s²

The given parameters;

velocity of the cheetah, v = 31 m/s

time of  motion, t = 4 seconds

The average acceleration of the cheetah is calculated as follows;

[tex]Average \ acceleration = \frac{\Delta velocity}{\Delta time } \\\\Average \ acceleration = \frac{v-u}{t}[/tex]

where;

v is the final velocity

u is the initial velocity

t is the time of motion

Assuming the cheetah started from rest, the initial velocity, u = 0

The average acceleration is calculated as follows;

[tex]Average \ acceleration = \frac{v-u}{t} = \frac{31-0}{4} = 7.75 \ m/s^2[/tex]

Thus, the average acceleration of the cheetah is 7.75 m/s²

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