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  • How to find when an object reached the ground using the . . .
    The ball hits the floor when h=0, so set h(t)=0, and solve the resulting quadratic equation for t using the quadratic formula You will get a positive and a negative solution Since time starts at t=0, the positive solution is the correct one
  • How to find the time it takes for a ball to hit the ground?
    The height of a ball thrown straight up from a building is given by $h(t)=-16t^2+32t+48$, $t$ seconds after it is thrown $1)$ Find the maximum height of the ball $2)$ Find the time it takes for the ball to reach the ground
  • The quadratic expression represents the height of a ball
    Time of Impact: To find out when the ball hits the ground, set h (t) = 0: − 16 t 2 + 32 t + 6 = 0 The quadratic can be solved using the quadratic formula or factoring to find the time when the ball reaches ground level Equivalent Form: − 16 (t − 1) 2 + 22 This form is also a quadratic equation but is expressed in vertex form
  • Ex: Quadratic Equation App - Determine When an Object Hits . . .
    This video explains how to solve a quadratic equation that models the height of an object to determine when it hits the ground The quadratic equation is so
  • What is the quadratic equation of throwing a ball?
    What is the quadratic equation when the ball hits the ground? When the ball hits the ground, the height is 0 Substitute 0 for h h This equation is difficult to solve by factoring or by completing the square, so solve it by applying the Quadratic Formula, x=−b±√b2−4ac2a x = − b ± b 2 − 4 a c 2 a
  • Quadratic equations and Vertical Motion - Education Technology
    to find when the ball will hit the ground Unlike the rocket equations, the above equation cannot be factored Therefore, you are going to solve it by using the quadratic formula Reminder: For a quadratic equation in standard form ax2+bx+c=0, 2a b b 4ac x − ± 2 − = 2 For your equation: a= b= c= 3 Solve the equation and use a calculator
  • Suppose the shot misses, and the ball hits the ground. Use . . .
    Using the quadratic formula and an equation of motion, we solve for the time it takes for a ball to hit the ground after being launched Discarding the negative root, which represents time before the launch, we use the positive root to determine the duration of the ball's free-fall to the ground





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