Question

1)A particle moves along the *x* axis. Its position is
given by the equation

*x* = 1.8 + 2.5*t* − 3.9*t*^{2}
with *x* in meters and *t* in seconds.

(a) Determine its position when it changes direction.

(b) Determine its velocity when it returns to the position it had
at *t* = 0? (Indicate the direction of the velocity with the
sign of your answer.)

2)The height of a helicopter above the ground is given by
*h* = 3.10*t*^{3}, where *h* is in
meters and *t* is in seconds. At *t* = 2.40 s, the
helicopter releases a small mailbag. How long after its release
does the mailbag reach the ground?

3)An inquisitive physics student and mountain climber climbs a 53.0-m-high cliff that overhangs a calm pool of water. He throws two stones vertically downward, 1.00 s apart, and observes that they cause a single splash. The first stone has an initial speed of 2.14 m/s.

(a) How long after release of the first stone do the two stones
hit the water?

(b) What initial velocity must the second stone have if the two
stones are to hit the water simultaneously?

magnitude

direction

(c) What is the speed of each stone at the instant the two stones hit the water?

first stone second stone |

Answer #1

An inquisitive physics student and mountain climber climbs a
49.0-m-high cliff that overhangs a calm pool of water. He throws
two stones vertically downward, 1.00 s apart, and observes that
they cause a single splash. The first stone has an initial speed of
1.80 m/s.
(a) How long after release of the first stone do the two stones
hit the water?
(b) What initial velocity must the second stone have if the two
stones are to hit the water simultaneously?...

An inquisitive physics student and mountain climber climbs a
51.0-m-high cliff that overhangs a calm pool of water. He throws
two stones vertically downward, 1.00 s apart, and observes that
they cause a single splash. The first stone has an initial speed of
2.02 m/s.
(a) How long after release of the first stone do the two stones
hit the water?
s
(b) What initial velocity must the second stone have if the two
stones are to hit the water...

I need to see all the steps please! I know there are
calculations of this kind of question out there.
An inquisitive physics student
and mountain climber climbs a 51.0-m-high cliff that overhangs a
calm pool of water. He throws two stones vertically downward, 1.00
s apart, and observes that they cause a single splash. The first
stone has an initial speed of 2.02 m/s.
(a) How long after release of the first stone do the two stones
hit the...

The height of a helicopter above the ground is given by
h = 2.65t3, where h is in
meters and t is in seconds. After 2.10 s, the helicopter
releases a small mailbag. Assume the upward direction is positive
and the downward direction is negative.
a.) What is the velocity of the mailbag when it is released?
b.) What maximum height from the ground does the mailbag
reach?
c.) What is the velocity of the mailbag when it hits the...

The height of a helicopter above the ground is given by
h = 2.95t3, where h is in
meters and t is in seconds. At t = 2.05 s, the
helicopter releases a small mailbag. How long after its release
does the mailbag reach the ground?

The height of a helicopter above the ground is given by h =
2.60t3, where h is in meters and t is in seconds. After 2.30 s, the
helicopter releases a small mailbag. Assume the upward direction is
positive and the downward direction is negative. What is the
velocity of the mailbag when it hits the ground?

Two particles move along an x axis. The position of
particle 1 is given by x = 10.0t2 +
6.00t + 4.00 (in meters and seconds); the acceleration of
particle 2 is given by a = -9.00t (in meters per seconds
squared and seconds) and, at t = 0, its velocity is 24.0
m/s. When the velocities of the particles match, what is their
velocity?

A rock climber stands on top of a 58 m -high cliff overhanging a
pool of water. He throws two stones vertically downward 1.0 s apart
and observes that they cause a single splash. The initial speed of
the first stone was 2.5 m/s .
How long after the release of the first stone does the second
stone hit the water?
What is the speed of the first stone as it hits the water?
What is the speed of the...

A rock climber stands on top of a 60 m -high cliff overhanging a
pool of water. He throws two stones vertically downward 1.0 s apart
and observes that they cause a single splash. The initial speed of
the first stone was 1.7 m/s .
A. How long after the release of the first stone does the second
stone hit the water?
B. What was the initial speed of the second stone?
C. What is the speed of the first...

The position of a particle moving along the x axis is
given in centimeters by x = 9.31 + 1.02
t3, where t is in seconds. Calculate
(a) the average velocity during the time interval
t = 2.00 s to t = 3.00 s; (b)
the instantaneous velocity at t = 2.00 s;
(c) the instantaneous velocity at t =
3.00 s; (d) the instantaneous velocity at
t = 2.50 s; and (e) the instantaneous
velocity when the particle is...

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