Suppose a stone is thrown vertically upward from the edge of a cliff on Earth with an initial velocity of from a
height of 64 ft above the ground. The height (in feet) of the stone above the ground t seconds after it is thrown is
. Complete parts (a) through (f) below.
a. Determine the velocity v of the stone after t seconds.

b. When does the stone reach its highest point?
The stone reaches its highest point after
(Type an integer or a decimal.)

Ask by French Mckenzie. in the United States

Nov 06,2024

Question

Suppose a stone is thrown vertically upward from the edge of a cliff on Earth with an initial velocity of from a
height of 64 ft above the ground. The height (in feet) of the stone above the ground t seconds after it is thrown is
. Complete parts (a) through (f) below.
a. Determine the velocity v of the stone after t seconds.

b. When does the stone reach its highest point?
The stone reaches its highest point after
(Type an integer or a decimal.)

Ask by French Mckenzie. in the United States

Nov 06,2024

UpStudy AI · Accepted Answer

To find when the stone reaches its highest point, we need to determine when the velocity $$ v(t) $$ is equal to zero. The velocity function is given by:

$$
v(t) = -32t + 48
$$

To find the time $$ t $$ when the stone reaches its highest point, we set the velocity equal to zero:

$$
-32t + 48 = 0
$$

Now, solve for $$ t $$:

$$
-32t = -48
$$
$$
t = \frac{48}{32} = \frac{3}{2} = 1.5 \text{ seconds}
$$

Thus, the stone reaches its highest point after **1.5 seconds**.
The stone reaches its highest point after 1.5 seconds.

Solución de inteligencia artificial de Upstudy

Responder

Solución

Mind Expander

preguntas relacionadas

Latest Calculus Questions