All categories

3 years ago

The length covered by a body is found to be directly proportional to the square of time . What is the nature of acceleration?

Physics

1 answer:

Irina-Kira [14]3 years ago

6 0

Answer:

Given that x α t², where x is displacement of body and t is time

on removing α sign,x=bt² ..............1...where b is proportionality constant

now differentiating 1 with respect to time we get,

v=2bt where v is velocity

now on further differentiating we get ,

a=2b where a is acceleration

it means acceleration of body is constant, it is independent of time

You might be interested in

What are the density, specific gravity and mass of the air in a room whose dimensions are 4 m * 6 m * 8 m at 100 kPa and 25 C.

Volgvan

Answer:

Density = 1.1839 kg/m³

Mass = 227.3088 kg

Specific Gravity = 0.00118746 kg/m³

Explanation:

Room dimensions are 4 m, 6 m & 8 m. Thus, volume = 4 × 6 × 8 = 192 m³

Now, from tables, density of air at 25°C is 1.1839 kg/m³

Now formula for density is;

ρ = mass(m)/volume(v)

Plugging in the relevant values to give;

1.1839 = m/192

m = 227.3088 kg

Formula for specific gravity of air is;

S.G_air = density of air/density of water

From tables, density of water at 25°C is 997 kg/m³

S.G_air = 1.1839/997 = 0.00118746 kg/m³

4 0

3 years ago

A ball is batted straight up into the air and reaches a maxium height 65.6 m (a) How long did it take to reach this height? (b)

kondaur [170]

Answer:

a) 3.65 seconds

b) 35.87 m/s

Explanation:

s = Displacement = 65.6 m

u = Initial velocity

v = Final velocity

t = Time taken

a = Acceleration due to gravity = 9.81 m/s² (downward direction is taken as positive and upward is taken as negative)

b) Equation of motion

$v^2-u^2=2as\\\Rightarrow 0^2-u^2=2\times -9.81\times 65.6\\\Rightarrow u=\sqrt{2\times 9.81\times 65.6}\\\Rightarrow u=35.87\ m/s$

Initial pop up velocity is 35.87 m/s

$v=u+at\\\Rightarrow t=\frac{v-u}{a}\\\Rightarrow t=\frac{0-35.87}{-9.81}\\\Rightarrow t=3.65\ s$

It took 3.65 seconds to reach this height

6 0

4 years ago

Why is it useful to know the net force?

galben [10]

Answer:

the object has a net force acting on it, it will accelerate the object will speed up, slow down, or change direction.

Explanation:

5 0

3 years ago

Read 2 more answers

What was Thomas Edison first major invented?

marysya [2.9K]

Answer:

Thomas Edisons most famous invention was the phonograph

Thomas Edison announces his invention of the phonograph, a way to record and play back sound. Edison stumbled on one of his great inventions—the phonograph—while working on a way to record telephone communication at his laboratory in Menlo Park, New Jersey.

Explanation:

Hope I helped

8 0

3 years ago

Explain any 3 alternating ways of producing electricity

ehidna [41]

Answer:

to produce electricty three ways you have the water wheel the wind mill and solor panels

Explanation:

4 0

3 years ago