A projectile is launched with an initial speed of 40   m   s - 1 at an angle 30 ° above the ground. The projectile lands on a hillside 2 . 0   s later. The net displacement from where the projectile was launched to where

Question

A projectile is launched with an initial speed of 40 &#160; m &#160; s - 1 at an angle 30 &#176; above the ground. The projectile lands on a hillside 2 . 0 &#160; s later. The net displacement from where the projectile was launched to where it hits the target is (Take g = 10 &#160; m &#160; s - 2 )

Quantrex Academy · Accepted Answer

Correct answer: D. 20 13 &#160; m

Horizontal displacement covered, x = 40 cos 30 &#176; &#215; 2 = 40 3 &#160; m Vertical displacement covered, y = 40 sin 30 &#176; &#215; 2 + 1 2 - 10 &#215; 2 2 = 40 - 20 = 20 &#160; m Hence, required displacement will be, x 2 + y 2 = 20 13 &#160; m

A projectile is launched with an initial speed of 40   m   s - 1 at an angle 30 ° above the ground. The projectile lands on a hillside 2 . 0   s later. The net displacement from where the projectile was launched to where it hits the target is (Take g = 10   m   s - 2 )

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Step-by-step solution

More from Motion in Two Dimensions

A projectile is launched with an initial speed of 40 &#160; m &#160; s - 1 at an angle 30 &#176; above the ground. The projectile lands on a hillside 2 . 0 &#160; s later. The net displacement from where the projectile was launched to where it hits the target is (Take g = 10 &#160; m &#160; s - 2 )

Options

Correct answer

Step-by-step solution

More from Motion in Two Dimensions

A projectile is launched with an initial speed of 40 m s - 1 at an angle 30 ° above the ground. The projectile lands on a hillside 2 . 0 s later. The net displacement from where the projectile was launched to where it hits the target is (Take g = 10 m s - 2 )