A stone is projected with a velocity 20 √(2) ms^-1 at an angle of 45^∘ to the horizontal. The a

step 1 So let's solve this question. Let's, this is projectile. This, this, this, this, this, B, this,

A stone is projected with a velocity 20 √(2) ms^-1 at an...

A stone is projected with a velocity $20 \sqrt{2} \mathrm{~ms}^{-1}$ at an angle of $45^{\circ}$ to the horizontal. The average velocity of stone during its motion from starting point to its maximum height is $\left(g=10 \mathrm{~ms}^{-2}\right)$ (a) $5 \sqrt{5} \mathrm{~ms}^{-1}$ (b) $10 \sqrt{5} \mathrm{~ms}^{-1}$ (c) $20 \mathrm{~ms}^{-1}$ (d) $20 \sqrt{5} \mathrm{~ms}^{-1}$

A stone is projected with a velocity $20 \sqrt{2} \mathrm{~ms}^{-1}$ at an angle of $45^{\circ}$ to the horizontal. The average velocity of stone during its motion from starting point to its maximum height is $\left(g=10 \mathrm{~ms}^{-2}\right)$
(a) $5 \sqrt{5} \mathrm{~ms}^{-1}$
(b) $10 \sqrt{5} \mathrm{~ms}^{-1}$
(c) $20 \mathrm{~ms}^{-1}$
(d) $20 \sqrt{5} \mathrm{~ms}^{-1}$

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Key Concepts

Decomposition of Velocity

This concept involves resolving the initial velocity of a projectile into its horizontal and vertical components using trigonometric functions. The horizontal component affects the range of the motion and remains constant (in the absence of air resistance), while the vertical component is influenced by gravitational acceleration.

Projectile Motion

Projectile motion refers to the type of two-dimensional motion an object undergoes when it is launched into the air and moves under the influence of gravity alone. This motion is characterized by a parabolic trajectory, with constant horizontal velocity and vertical acceleration due to gravity.

Time to Reach Maximum Height

In projectile motion, the time required to reach the maximum height is determined by the initial vertical component of velocity and the acceleration due to gravity. This time can be computed using the formula t = v_y / g, where v_y is the initial vertical velocity, and g is the gravitational acceleration.

Average Velocity

Average velocity is defined as the displacement divided by the total time taken for that displacement. In the context of projectile motion, it is calculated by taking the straight-line distance from the launch point to the highest point of the trajectory and dividing it by the time taken to reach that point.

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