A baseball player throws a ball upward. The ball's height above the ground in feet can be modeled by the expression 5+85t−16t2, where t is the time in seconds after the ball leaves the player's hand.What does the number 5 represent in the expression?Choices:(A)the time in seconds from when the ball leaves the player's hand until it hits the ground(B)the height in feet of the ball when it leaves the player's hand(C)the height in feet of the ball when it reaches its highest point(D)the time in seconds from when the ball leaves the player's hand until it reaches its highest point
Q. A baseball player throws a ball upward. The ball's height above the ground in feet can be modeled by the expression 5+85t−16t2, where t is the time in seconds after the ball leaves the player's hand.What does the number 5 represent in the expression?Choices:(A)the time in seconds from when the ball leaves the player's hand until it hits the ground(B)the height in feet of the ball when it leaves the player's hand(C)the height in feet of the ball when it reaches its highest point(D)the time in seconds from when the ball leaves the player's hand until it reaches its highest point
Initial Height Determination: The constant term in a quadratic equation representing height as a function of time usually indicates the initial height.So, the number 5 represents the height of the ball when it leaves the player's hand, which is at t=0 seconds.
Confirmation of Initial Height: To confirm, we can plug in t=0 into the expression to see what the height would be.Height at t=0: 5+85(0)−16(0)2=5 feet.
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