I 0 PM-Due Date: 97172018 11:59 Id kinematics Extension Begin Date: 8/26/2018 9:

Question

I 0 PM-Due Date: 97172018 11:59 Id kinematics Extension Begin Date: 8/26/2018 9:00 (10%) Problem i0: The world's fastest land animal, the cheetah, can accelerate at 8.9 m/s2 to a top speed of v max cheetah observes a passing gazelle traveling at v 18.9 m/s and begins to chase it. PM End Date: 9/17/2013 11:5900 PM 31.5 m/s A 25%Part(a) How long"inseconds t 35 Correct 25% Part (b) How far, in meters, has the cheetah traveled, d, dmax,vel deax.vel 55 Correct ll speed. Derive of the variables d, vemax and vg for the time, ç, it takes the cheetah to catch the gazelle. Grade Summary 2% 98% Potential 78 9 HOMIE Attempts remaining: 3 % attempt) detailed view 0 END Hint l give up

Explanation / Answer

here,

accelration for cheetah , ac = 8.9 m/s^2

maximum speed for cheetah , vc = 31.5 m/s

a)

let the time taken to reach the maximum velocity be t

vc = 0 + ac * t

31.5 = 0 + 8.9 * t

t = 3.54 s

b)

the distance travelled , dmax = vc^2 /(2*ac)

dmax = 31.5^2 /(2*8.9)

dmax = 55 m

c)

let the time taken by cheetah to chase gazelle be tc

equating the distance travelled by both of them

the distance travelled by cheetah = distance travlled by gazelle + d

vmax * tc = vg * tc + d

tc * (vmax - vg) = d

tc = d/(vmax - vg)

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