검증된 단계별 안내
05:44
05:18
06:30Suppose a stone is thrown vertically upward from the edge of a cliff on Earth with an initial velocity of 19.6 m/s from a height of 24.5 m above the ground. The height (in meters) of the stone above the ground t seconds after it is thrown is s(t) = -4.9t2 + 19.6t + 24.5.
On what intervals is the speed increasing?
Suppose a baseball is thrown vertically upward from the ground with an initial velocity of v0 ft/s. The approximate height of the ball (in feet) above the ground after t seconds is given by s(t) = -16t² + v0t.
With what velocity does the ball strike the ground?
Once Kate’s kite reaches a height of 50 ft (above her hands), it rises no higher but drifts due east in a wind blowing 5 ft/s. How fast is the string running through Kate’s hands at the moment when she has released 120 ft of string?
Suppose a stone is thrown vertically upward from the edge of a cliff on Earth with an initial velocity of 32 ft/s from a height of 48 ft above the ground. The height (in feet) of the stone above the ground t seconds after it is thrown is s(t) = -16t2 + 32t + 48.
On what intervals is the speed increasing?
Suppose a stone is thrown vertically upward from the edge of a cliff on Earth with an initial velocity of 64 ft/s from a height of 32 ft above the ground. The height (in feet) of the stone above the ground t seconds after it is thrown is s(t) = -16t2 + 64t + 32.
On what intervals is the speed increasing?
Use definition (2) (p. 135) to find the slope of the line tangent to the graph of f at P.
f(x) = x3; P (1,1)
