Mechanics> Two balls are projected at different angl...

Two balls are projected at different angles from the same place and with the same initial speed of 50 m/s. Both balls have the same range of 216 m. The difference in their times of flight is close to

Aditi , 7 Years ago

Grade 12th pass

1 Answers

Arun

Dear Aditi

R1 = R2 = 50² sin (2theta)1 /g = 50² sin (2 theta)2/g

2160/2500 = sin(2theta)1

Sin(2 theta)1 $\approx$ sqrt(3) /2

Hence

(2 theta)1 = 60°

tehta)1 = 30°

Now as sin (2 theta)1 = sin (2 theta)2

Hence

2 theta2 = 120°

Theta)2 = 60°

Hence

T1 = 2 *50 sin 30/10 = 5 sec

T2 = 2 *50 * sin60 /10 = 5 * sqrt(3) sec

Hence

T2 - T1 = 5 ( sqrt(3) -1) sec

Last Activity: 7 Years ago

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Mechanics> Two balls are projected at different angl...

Two balls are projected at different angles from the same place and with the same initial speed of 50 m/s. Both balls have the same range of 216 m. The difference in their times of flight is close to

Aditi , 7 Years ago

Arun

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