A BOUNCING TENNIS BALL REBOUNDS EACH TIME TO A HEIGHT ONE HALF THAT OF THE PREVIOUS ONE.IF IT IS DROPPED FROM A HEIGHT OF 3m,THE TOTAL DISTANCE TRAVELLED BY THE BALL BEFORE COMING TO REST IS-

Dear student,

 

distance of 1st bounce = 3m

distance of 2nd bounce = 1.5m

distance of 3rd bounce = 0.75m

distance of 4th bounce = 0.37m

distance of 5st bounce = 0.18m

distance of 6th bounce = 0.09m

distance of 7th bounce = 0.04m

distance of 8th bounce = 0.02m

distance of 9th bounce = 0.01m

 

total distance travelled = 5.69m

 

check with this:

 

3 + 2(3)(0.5)(0.5^9 -1)/(0.5-1)= 3+5.98 approx= 6, = 9m

 

Thanking you

 

Team

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