A skateboarder riding on a level surface at a constant speed of 10 ft/s throws a ball in the air straight up. The height of which can be described by the equation h(t)=−16t2+11t+1 feet where t is the number of seconds since the ball was thrown. (The ball continues traveling horizontally at the speed of the skateboarder.) Let x be the horizontal distance traveled by the ball at time tt seconds. The parametric equations for this situation is given by: x(t)=__________ h(t)=−16t2+11t+1
A skateboarder riding on a level surface at a constant speed of 10 ft/s throws a ball in the air straight up. The height of which can be described by the equation h(t)=−16t2+11t+1 feet where t is the number of seconds since the ball was thrown.
(The ball continues traveling horizontally at the speed of the skateboarder.)
Let x be the horizontal distance traveled by the ball at time tt seconds.
The parametric equations for this situation is given by:
x(t)=__________
h(t)=−16t2+11t+1
Now eliminate the parameter, t, to write the height, h, as a function of horizontal position, x, where xx is the horizontal distance traveled since the ball was thrown.
The resulting equation can be written as
h(x)= _________
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