A body is projected upwards from level ground with an...

A body is projected upwards from level ground with an initial velocity of $20 \mathrm{~m} \mathrm{~s}^{-1}$ at an angle of $30^{\circ}$ to the horizontal. Then the magnitude of its velocity after 1 secondin $\mathrm{m} \mathrm{s}^{-1}$ is $\left(\mathrm{g}=10 \mathrm{~m} \mathrm{~s}^{-2}\right)$ (a) $10 \sqrt{3}$ (b) 10 (c) $10(\sqrt{3}-1)$ (d) 20

A body is projected upwards from level ground with an initial velocity of $20 \mathrm{~m} \mathrm{~s}^{-1}$ at an angle of $30^{\circ}$ to the horizontal. Then the magnitude of its velocity after 1 secondin $\mathrm{m} \mathrm{s}^{-1}$ is $\left(\mathrm{g}=10 \mathrm{~m} \mathrm{~s}^{-2}\right)$
(a) $10 \sqrt{3}$
(b) 10
(c) $10(\sqrt{3}-1)$
(d) 20

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Resultant Velocity Calculation

The resultant velocity is obtained by combining the horizontal and vertical components using the Pythagorean theorem. This allows for the determination of the overall speed of the projectile at any given instant.

Kinematics Equations

Kinematics equations describe the motion of objects under constant acceleration. They are used to calculate the velocity and displacement of the projectile, particularly for the vertical motion where gravity acts, providing critical insight into the object's behavior over time.

Projectile Motion

Projectile motion concerns the movement of an object that is thrown or projected into the air, subject only to the force of gravity (and neglecting air resistance). It is analyzed by splitting the motion into two components: horizontal motion with constant velocity and vertical motion with constant acceleration due to gravity.

Vector Decomposition

Vector decomposition is the process of breaking down an initial velocity into horizontal and vertical components using trigonometric functions. This is essential for analyzing projectile motion because the two components behave differently under the influence of gravity.

Please give Ace some feedback