Math Problem Statement
A rock is thrown vertically upwards by a hand which is 1.2 meters above the ground. The displacement from the instant it leaves the hand is given by the function s(t)=-4.9t^2+10t Find the maximum displacement from the point where the rock left the hand.
Find the time taken from the rock being released by the hand until it reaches the ground again.
c) Find the velocity of the rock at the instance it hits the ground again.
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Kinematics
Quadratic Functions
Calculus (Derivatives)
Formulas
Vertex of a parabola: t = -b/(2a)
Quadratic equation: ax^2 + bx + c = 0
Velocity: v(t) = ds(t)/dt
Theorems
Vertex formula for maximum/minimum of a quadratic function
Derivative to find velocity from displacement
Suitable Grade Level
Grades 11-12
Related Recommendation
Solve When an Object Hits the Ground and Its Impact Velocity Using a Quadratic Function
Projectile Motion and Quadratic Function: Find Time, Height, and Maximum Point
Find Initial Height of a Ball Using a Quadratic Function
Projectile Motion: Finding Instantaneous Velocity at Maximum Height
Rocket Launch and Splashdown: Solving a Quadratic Equation for Time and Maximum Height