Kinematics of rectilinear motion - multiple displacements

AI Thread Summary
The discussion centers on calculating the initial distance between a cheetah and an antelope based on their speeds and acceleration. The cheetah runs at a maximum speed of 100 km/h and the antelope at 65 km/h, both reaching their speeds in 4 seconds. The problem states that the cheetah catches the antelope in 15 seconds, prompting the need to apply kinematic equations to find the initial distance. The user expresses difficulty in using the provided equations to arrive at the known answer of 126 meters. The focus is on understanding how to effectively utilize the kinematic formulas to solve the problem.
derRoboter
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Homework Statement



A cheetah is estimated to be able to run at a maximum speed of 100km.h^1 whilst and antelope can run at a maximum speed of 65km.h^-1. A cheetah at rest sees an antelope at rest and starts running towards it. The antelope immediately starts running away. Both cheetah and antelope are assumed to move with constant acceleration and reach their maximum speeds in 4 seconds. Assuming that both run along the same straight line and that the cheetah catches the antelope in 15 seconds, find the distance between the animals when they first started moving. 2. Equations I have been given
v=u+at
s=ut+1/2at^2
v^2=u^2+2as
s=1/2(u+v)tmisc

I have been staring at this for a good hour now and am yet to come up with the answer which I know to be 126m. How do i find this value using those equations and the data given?

Kind regards, derRoboter
 
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