Asked Nov 20, 2019

The cheetah can reach a top speed of 114 km/h (71 mi/h). While chasing its prey in a short sprint, a cheetah starts from rest and runs 50 m in a straight line, reaching a final speed of 88 km/h.

(a) Determine the cheetah's average acceleration during the short sprint. 

(b) Find its displacement at 

t = 3.3 s.

 (Assume the cheetah maintains a constant acceleration throughout the sprint.) 


Expert Answer

Step 1

Given data:

Initial speed of the cheetah, u = 0 km/h

Final speed of the cheetah, v = 88 km/h

Distance covered, s = 50 m

Step 2

Writing the third equation of the kinematics:


Image Transcriptionclose

12u22as v2-u a = 2s Plugging in the given values: 5 88x m/s 18 2 x 50 m a 5.975 m/s2

Step 3


Let the displacement be s

Writing the se...


Image Transcriptionclose

1 s ut at Plugging in the given values: 1 S 0x3.3-x5.975x(3.3) 2 = 32.533 m


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