A cheetah starts from rest- and accelerates at 2 m - s 2 for 10 seconds- Calculate -a the final velocityb the distance travelled-

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Derivation of Velocity-Time Relation by Graphical Method

A cheetah sta...

Question

A cheetah starts from rest, and accelerates at 2 m/s² for 10 seconds. Calculate :

(a) the final velocity
(b) the distance travelled.

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Solution

We have to find the distance travelled by the cheetah. We have the following information given,
So, initial velocity, (u) = 0 m/s
Acceleration, (a) = 2 m/s²
Time taken, (t) = 10 s
(a) So, we can find the final velocity using the relation, v = u + at
Final velocity,
v = 0 + (2) (10)
= 20 m/s

(b) We can calculate the distance travelled by cheetah using the 2^ndequation of motion, $s = u t + \frac{1}{2} a t^{2}$
Put the values in above equation to find the distance travelled,
$(s) = 0 (10) + \frac{1}{2} (2) (10)^{2} = 100 m$

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A cheetah starts from rest, and accelerates at 2 m/s2 for 10 seconds. Calculate : (a) the final velocity (b) the distance travelled.

A cheetah starts from rest, and accelerates at 2 m/s² for 10 seconds. Calculate :

(a) the final velocity
(b) the distance travelled.