1.

A ball is thrown at 20.0 m s−1 at an angle 20.0° above the horizontal. Calculate the size of the ball’s instantaneous velocity at its highest point.(You may ignore air resistance. Give your answer in m s−1 to an appropriate number of significant figures.)

Answer»

Given:

A ball is thrown at 20.0 m s−1 at an ANGLE 20.0° above the horizontal.

To find:

Instantaneous VELOCITY of the ball at the highest point.

Calculation:

This QUESTION is based on ground to ground Projectile.

We know that at the highest point of a projectile the instantaneous velocity of an object is equal to the x-axis component of the initial velocity.

\rm{ \therefore \: (v)_{highest  \: point} = v_{x}}

\rm{ =  >  \: (v)_{highest  \: point} = v \times  \cos( \theta) }

\rm{ =  >  \: (v)_{highest  \: point} = 20\times  \cos( {20}^{ \circ} ) }

\rm{ =  >  \: (v)_{highest  \: point} = 20\times 0.93 }

\rm{ =  >  \: (v)_{highest  \: point} = 18.79 \: m {s}^{ - 1} }

So, final ANSWER is:

\boxed{ \red{ \rm{ \: (v)_{highest  \: point} = 18.79 \: m {s}^{ - 1} }}}



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