1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
bekas [8.4K]
3 years ago
5

If an object is projected upward from ground level with an initial velocity of 144144 ft per​ sec, then its height in feet after

t seconds is given by ​s(t)equals=minus−16tsquared2plus+144144t. Find the number of seconds it will take to reach its maximum height. What is this maximum​ height?
Physics
1 answer:
Liula [17]3 years ago
3 0

Answer:

4.5 s, 324 ft

Explanation:

The object is projected upward with an initial velocity of

v_0 = 144 ft/s

The equation that describes its height at time t is

s(t) = -16t^2 + 144 t (1)

where t, the time, is measured in seconds.

In order to find the time it takes for the object to reach the maximum height, we must find an expression for its velocity at time t, which can be found by calculating the derivative of the position, s(t):

v(t) = s'(t) = -32t +144 (2)

At the maximum heigth, the vertical velocity is zero:

v(t) = 0

Substituting into the equation above, we find the corresponding time at which the object reaches the maximum height:

0=-32t+144\\t=\frac{144}{32}=4.5 s

And by substituting this value into eq.(1), we also find the maximum height:

s(t) = -16(4.5)^2+144(4.5)=324 ft

You might be interested in
What happens when light passes through a prism or diffraction grating?
Dimas [21]

Answer:

The light scatters in all directions.

6 0
3 years ago
An electron is initially moving at 1.4 x 107 m/s. It moves 3.5 m in the direction of a uniform electric field of magnitude 120 N
algol13

Answer:

K.E = 15.57 x 10⁻¹⁷ J

Explanation:

First, we find the acceleration of the electron by using the formula of electric field:

E = F/q

F = Eq

but, from Newton's 2nd Law:

F = ma

Comparing both equations, we get:

ma = Eq

a = Eq/m

where,

E = electric field intensity = 120 N/C

q = charge of electron = 1.6 x 10⁻¹⁹ C

m = Mass of electron = 9.1 x 10⁻³¹ kg

Therefore,

a = (120 N/C)(1.6 x 10⁻¹⁹ C)/(9.1 x 10⁻³¹ kg)

a = 2.11 x 10¹³ m/s²

Now, we need to find the final velocity of the electron. Using 3rd equation of motion:

2as = Vf² - Vi²

where,

Vf = Final Velocity = ?

Vi = Initial Velocity = 1.4 x 10⁷ m/s

s = distance = 3.5 m

Therefore,

(2)(2.11 x 10¹³ m/s²)(3.5 m) = Vf² - (1.4 x 10⁷)²

Vf = √(1.477 x 10¹⁴ m²/s² + 1.96 x 10¹⁴ m²/s²)

Vf = 1.85 x 10⁷ m/s

Now, we find the kinetic energy of electron at the end of the motion:

K.E = (0.5)(m)(Vf)²

K.E = (0.5)(9.1 x 10⁻³¹ kg)(1.85 x 10⁷ m/s)²

<u>K.E = 15.57 x 10⁻¹⁷ J</u>

4 0
2 years ago
What happens to gravitational potential energy as a roller coaster moves down a hill?
Kaylis [27]
It is converted to kinetic energy.
5 0
3 years ago
A car moves at 45 kilometers per hour.
AnnyKZ [126]

Answer:

4

Explanation:

7 0
2 years ago
Read 2 more answers
A container is filled with water and the pressure at the container bottom is P. If the container is instead filled with a liquid
den301095 [7]
Eat ahah is when s susuehs
7 0
3 years ago
Other questions:
  • Where does energy go when an object hits the ground?
    10·1 answer
  • Let’s consider several models of the Earth’s radiation properties. In each part, assume that the Earth's radiative output balanc
    5·1 answer
  • When a man travel from hilly to terai what will happen to weight and why?
    9·1 answer
  • a man is 9 m behind a dorr of train when it starts moving with a=2ms^-1. how far the man have to run and after what time will he
    10·1 answer
  • A railroad car containing an angry bull is standing onthe
    14·1 answer
  • A car enters the freeway with a speed of 6.4 m/s and accelerates uniformly for 3000 m in 210 seconds. How fast is the car moving
    10·1 answer
  • A 4.00 kg block is pushed along the ceiling with a constant applied force of 85.0 N that acts at an angle of 55.0 degrees with t
    12·1 answer
  • What is one disadvantage of sending information over long distances
    8·2 answers
  • A Jack Rabbit hops 12.8 meters per second. How long would it take for him to hop 353 m? Round to the nearest tenth place. ​
    8·1 answer
  • A stone is thrown vertically upward with the velocity of 25 m/s. How long will it take to reach the maximum height?Also calculat
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!