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A ball is thrown vertically upward with a speed of 20 m/s. How long will it take
Practice Questions
Q1
A ball is thrown vertically upward with a speed of 20 m/s. How long will it take to reach the maximum height?
1 s
2 s
3 s
4 s
Questions & Step-by-Step Solutions
A ball is thrown vertically upward with a speed of 20 m/s. How long will it take to reach the maximum height?
Steps
Concepts
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.
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