Question
If a rock is thrown upward on the planet Mars with a velocity of 15 m/s,...
If a rock is thrown upward on the planet Mars with a velocity of 15 m/s, its height (in meters) after t seconds is given by H = 15t − 1.86t^2
a) find the average velocity over the given time intervals: (i) [2, 3] (ii) [2, 2.5] (iii) [2, 2.1] (iv) [2, 2.01] (v) [2, 2.001]
b) Estimate the instantaneous velocity when t=2.
Homework Answers
Answer #1
Not the answer you're looking for?
Similar Questions
If an arrow is shot upward on Mars with a speed of 67 m/s, its height...
If an arrow is shot upward on Mars with a speed of 67 m/s, its
height in meters t seconds later is given by
y = 67t −
1.86t2.
Find the average speed over the given time intervals.
(i)
[1, 2]
(ii)
[1, 1.5]
(iii)
[1, 1.1]
(iv)
[1, 1.01]
(v)
[1, 1.001]
Step 1
Recall that the average speed between times
t1
and
t2
is calculated
usingvave =
y(t2) −
y(t1)
t2 − t1
.We are given that
y...
If an arrow is shot upward on Mars with a speed of 67 m/s, its height...
If an arrow is shot upward on Mars with a speed of 67 m/s, its
height in meters t seconds later is given by
y = 67t −
1.86t2.
Find the average speed over the given time intervals.
(i)
[1, 2]
(ii)
[1, 1.5]
(iii)
[1, 1.1]
(iv)
[1, 1.01]
(v)
[1, 1.001]
Step a
Recall that the average speed between times
t1
and
t2
is calculated
usingvave =
y(t2) −
y(t1)
t2 − t1
.We are given that
y...
A stone thrown vertically on Mars. Suppose a stone is thrown vertically upward from the edge...
A
stone thrown vertically on Mars. Suppose a stone is thrown
vertically upward from the edge of a cliff on Mars (where the
acceleration due to gravity is only about 12 ft/s^2) with an
initial velocity of 64 ft/s from a height of 192 ft above the
ground. The height S of the stone above the ground after t seconds
is given by s=-6t^2+64t+192
a. Determine the velocity v of the stone after t seconds
b. When does the stone...
A ball is thrown directly upward from the edge of a rock and travels such that...
A ball is thrown directly upward from the edge of a
rock and travels such that after t seconds its height in feet above
the ground is given by the equation s(t) =-2.5t^2+10t+2
1.Find the equation that represents the instant
velocity v(t) of the ball on t time.
2.When does the ball has zero velocity?
3. What is the maximum height that the ball
reaches?
4. When does the ball touches the surface of the
Earth?
5. build the graph...
A ball is thrown upward from a height of 3m at an initial speed of 45...
A
ball is thrown upward from a height of 3m at an initial speed of 45
m / sec. Acceleration resulting from gravity is -9.8 m/sec^2.
Neglecting air resistance, solve for the velocity, v(t), and the
height, h(t), of the ball t seconds after it is thrown and before
it hits the ground.
If an object is propelled upward from a height of s feet at an initial velocity...
If an object is propelled upward from a height of s feet at an
initial velocity of v feet per second, then its height h after t
seconds is given by the equation h=−16t^2+vt+s, where h is in feet.
If the object is propelled from a height of 1212 feet with an
initial velocity of 9696 feet per second, its height h is given by
the equation h =minus−16t^2+96 +12. After how many seconds is the
height 120 feet?
A ball with mass 1/9.8 kg is thrown upward with initial velocity 20 m/s from the...
A ball with mass 1/9.8 kg is thrown upward with initial velocity
20 m/s from the roof of a building 30 m high. Assume that the force
of air resistance (drag force) is (v^2)/1225. Find the maximum
height above the ground that the ball reaches. (Hint: find the
velocity v(t) first, then find the height x(t).)
rock thrown upward with an initial speed of 24.5 m/s from the top of a 50m...
rock thrown upward with an initial speed of 24.5 m/s
from the top of a 50m tower.
a. what's the rockets velocity the instant it hits the
ground?
b. how long is it in the air?
c. what's the max height above the building the ball
reaches?
if a ball is thrown vertically upward with a velocity of 95 ft/s, then its height...
if a ball is thrown vertically upward with a velocity of 95
ft/s, then its height after t seconds is
s=95t-19t^2
A. what is maximum height reached by the ball?
B. what is the velocity of the ball if its 114 ft above the
ground on the way up?
C. what is the velocity of the ball when it is 114 above the
ground on its way down?
If a ball is thrown upward with a velocity of 64 ft/sec, then its height after...
If a ball is thrown upward with a velocity of 64 ft/sec, then
its height after t seconds is s=64t-16t^2. When does the ball reach
its maximum height?
ADVERTISEMENT
Need Online Homework Help?
Get Answers For Free
Most questions answered within 1 hours.
ADVERTISEMENT
Active Questions
asked 1 minute ago
asked 11 minutes ago
asked 19 minutes ago
asked 21 minutes ago
asked 32 minutes ago
asked 35 minutes ago
asked 47 minutes ago
asked 50 minutes ago
asked 50 minutes ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago