Question

A projectile is thrown with a speed of 100 m/s making an angle 60° with the horizontal. The time after which its inclination with the horizontal is 45° is 5(root k -1) . Here k is integer. Find k
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Answer 1

Answer:

u  

x

​  

=100×cos60  

∘

=50

u  

y

​  

=100×sin60  

∘

=50  

3

​  

 

v  

y

​  

=u  

y

​  

+a  

y

​  

t=50  

3

​  

−gt and v  

x

​  

=u  

x

​  

=50

When angle is 45  

∘

 

tan45  

∘

=  

v  

x

​  

 

v  

y

​  

 

​  

⇒v  

y

​  

=v  

x

​  

⇒50  

3

​  

−gt=50

⇒50(  

3

​  

−1)=gt⇒t=5(  

3

​  

−1)s