A ball is thrown vertically upward with an initial velocity of 20 m/s. Ignoring air resistance, how long will it take to reach its highest point? (Use \( g = 10\, ext{m/s}^2 \))

["How Long Does a Ball Take to Reach Its Highest Point When Thrown Upward? (Physics Insight)", "When you throw a ball vertically upward with an initial velocity of 20 m/s, one of the most common questions is: how long will it take to reach the highest point? Understanding this scenario involves applying fundamental physics principles—especially motion under constant acceleration and gravity—without the complicating factor of air resistance.", "### The Physics Behind the Ascent", "– Initial velocity (u): +20 m/s (upward, positive direction)\n– Acceleration due to gravity (g): −10 m/s² (acts downward)\n– At the highest point: The ball momentarily stops before falling back down, so its final velocity (v) is 0 m/s.", "Since we ignore air resistance and assume constant gravity, the only acceleration acting on the ball is ( g = 10, ext{m/s}^2 ) downward.", "### Using the Kinematic Equation", "To find the time to reach the highest point, we use the key equation of motion:", "[\nv = u + at\n]", "Where:\n- ( v ) = final velocity (0 m/s at peak)\n- ( u ) = initial velocity (20 m/s)\n- ( a ) = acceleration (−10 m/s²)\n- ( t ) = time to reach the highest point (what we want)", "Plug in the values:", "[\n0 = 20 + (-10)t\n]", "Solve for ( t ):", "[\n-20 = -10t \quad \Rightarrow \quad t = \frac{20}{10} = 2, \ ext{seconds}\n]", "### Conclusion", "The ball reaches its highest point 2 seconds after being thrown upward at 20 m/s, ignoring air resistance. This result shows how gravity reliably decelerates the ball at 10 m/s² until it stops momentarily before reversing direction.", "---", "Key Focus Keywords:\n- vertical ball motion\n- time to reach highest point\n- physics projectile motion\n- acceleration due to gravity\n- kinematic equations\n- initial velocity 20 m/s\n- safe from air resistance", "This simple yet insightful problem helps clarify how gravity governs upward motion in mechanics, a core concept in physics education."]