A ball is thrown vertically upward with a speed of 20 m/s. How long will it take

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Question: A ball is thrown vertically upward with a speed of 20 m/s. How long will it take to reach the maximum height?

Options:

Correct Answer: 2 s

Solution:

Using v = u - gt, where v = 0, u = 20 m/s, and g = 9.8 m/s², we find t = u/g = 20/9.8 ≈ 2.04 s.

A ball is thrown vertically upward with a speed of 20 m/s. How long will it take to reach the maximum height?

A ball is thrown vertically upward with a speed of 20 m/s. How long will it take to reach the maximum height?

Step 1: Understand that when the ball reaches its maximum height, its final velocity (v) will be 0 m/s.
Step 2: Identify the initial velocity (u) of the ball, which is given as 20 m/s.
Step 3: Recognize that the acceleration due to gravity (g) is approximately 9.8 m/s², and it acts downward.
Step 4: Use the formula v = u - gt to find the time (t) it takes to reach maximum height.
Step 5: Substitute the known values into the formula: 0 = 20 m/s - (9.8 m/s² * t).
Step 6: Rearrange the equation to solve for t: t = (20 m/s) / (9.8 m/s²).
Step 7: Calculate the value: t ≈ 2.04 seconds.

Kinematics – The study of motion, specifically how objects move under the influence of forces.
Projectile Motion – The motion of an object thrown into the air, subject to gravitational acceleration.
Equations of Motion – Mathematical formulas that describe the relationship between velocity, acceleration, time, and displacement.