Trevor placed a football on his back deck and kicked it into his yard. The football's height above the ground, in feet, after t seconds can be modeled by the expression –16t2+30.2t+4.5.What does the number 4.5 represent?
Question
Trevor placed a football on his back deck and kicked it into his yard. The football's height above the ground, in feet, after t seconds can be modeled by the expression –16t2+30.2t+4.5.What does the number 4.5 represent?
Solution
The number 4.5 in the equation represents the initial height of the football above the ground in feet before it was kicked by Trevor. This is because when time t=0 (before the kick), the height of the football is given by the equation -16(0)^2 + 30.2(0) + 4.5, which simplifies to 4.5 feet.
Similar Questions
At the trampoline park, Lisa bounces upward with an initial velocity of 24feet per second. Therefore, Lisa's height above the trampoline in feet, t seconds after she jumps, can be modeled by the expression –16t2+24t. This expression can be written in factored form as –16t(t–1.5).What does the number 1.5 represent in the expression?
A squirrel was sitting in a tree and dropped an acorn. The height of the acorn above the ground, in feet, after t seconds can be modeled by the expression –16t2+23.What does the quantity 16t2 represent?
A pebble is dropped from the edge of a tall cliff into the ocean. The pebble's height above the ocean in feet can be modeled by the expression 400–16t2, where t is the time in seconds after the pebble is released.What does the quantity 16t2 represent in the expression?
A coconut falls from the top of a tall palm tree. The coconut's height above the ground in feet can be modeled by the expression 50–16t2, where t is the time in seconds after the coconut begins to fall.What does the quantity 16t2 represent in the expression?
The water level in Kurt's pond was low, so he started filling it with a hose. The water level, in inches, after t minutes can be modeled by the expression 0.4t2+3t+14.What does the number 14 represent?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.