Ajogger with a constant velocity of4.0 meters/second runs by a stationary dog .

Question

     Ajogger with a constant velocity of4.0 meters/second runs by a stationary dog .      After 1 s. the dog decides tochase the gjoger .the dog acceleration at 1.5m/s2.           a . How long dose it take the dog tocatch the jogger ?          b . how far away from the spot where the dog was sitting has the jogger gone when she iscaught           by htedog ?
     note : assume that the joggeris listening to walkman and doesn t realize the chasing heruntil               its too late .               In other words assume constant velocity for the jogger ?      Ajogger with a constant velocity of4.0 meters/second runs by a stationary dog .      After 1 s. the dog decides tochase the gjoger .the dog acceleration at 1.5m/s2.           a . How long dose it take the dog tocatch the jogger ?          b . how far away from the spot where the dog was sitting has the jogger gone when she iscaught           by htedog ?
     note : assume that the joggeris listening to walkman and doesn t realize the chasing heruntil               its too late .               In other words assume constant velocity for the jogger ?

Explanation / Answer

v =velocity of jogger = 4 m/s a = acceleration of dog = 1.5 m/s2 the dog and the jogger should cover the samedistance v(t + 1) = 1/2 at 2 v = 1/2 at solve for t the jogger will travel a distance d after time t d = v(t + 1) v = 1/2 at solve for t the jogger will travel a distance d after time t d = v(t + 1)

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