How Is Time Calculated for a Ball Thrown Upwards?

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To calculate the time taken for a ball thrown upwards to strike the ground, one must use kinematic equations that incorporate initial velocity (v), acceleration due to gravity (g), and the initial height (h). The relevant equation is derived from the motion of the ball under the influence of gravity, considering both the upward and downward journey. The time can be expressed in terms of these variables by solving the quadratic equation formed when setting the height equation to zero. It's essential to show your work to demonstrate understanding and avoid criticism for simply seeking answers. Proper application of these principles will yield the correct time calculation.
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A ball is thrown straight upward with a speed v from a point h metres above the ground. Express the time taken for the ball to strike the ground in terms of v,g and h.
(this question would be worth 4 marks on an assignment, so please answer according to the allocated marks) Thank you:smile:
 
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I'll first say that you should show some work because you're about to get pounced on for asking for answers.

Here's my tip... what kinematic equation(s) relate(s) the variables you mentioned?
 

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