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Chapter 6: Q 121. (page 383)

The projectile is fired at an angle of 45掳 to the horizontal with an initial speed of 100per second. Find the range R and maximum height H.

Short Answer

Expert verified

The range R is31路05and height H is0路77.

Step by step solution

01

Step 1. Given information.

Consider the given value the initial speed is 100feet per sec and胃=45掳.

02

Step 2. Formula used.

The formula used to find range is.

R胃=谓o2sin2胃gand formula to find height is H胃=谓o2脳sin胃22g.

03

Step 3. Finding range and height.

Substitute the values in formula where 谓ois 100 and 胃is 45掳andg=9路8.

R胃=谓o2sin2胃gR胃=1002sin2脳45掳9路8R胃=31路05

Further simplify.

H胃=100脳sin胃22gH胃=100脳1222脳9路8H胃=0路776

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