In an INELASTIC collision between two objects:

An antelope moving with constant acceleration covers the distance 70.0 m between two points in time 6.60 s. Its speed as it pass

Veronika [31]

Answer:

A) The speed at the first point is 6.91 m/s.

B) The acceleration is 1.12 m/s²

Explanation:

The equations of velocity and position of the antelope will be as follows:

x = x0 + v0 · t + 1/2 · a · t²

v = v0 + a · t

Where:

x = position of the antelope at time t

x0 = initial position

v0 = initial velocity

t = time

a = acceleration

v = velocity at time t

A) If we place the origin of the frame of reference at the first point, we can say that at t = 6.60 the position of the antelope is 70.0 m and its velocity is 14.3 m/s. In this way, we will have 2 equations with 2 unknowns, the initial velocity (the velocity at the first point) and the acceleration.

Let´s start finding the speed at the first point:

v = v0 + a · t (solving for "a")

(v - v0)/t = a

Replacing a = (v - v0)/t in the equation of the position:

x = x0 + v0 · t + 1/2 · (v - v0)/t · t² (x0 = 0)

x = v0 · t + 1/2 · v · t - 1/2 · v0 · t

x - 1/2 · v · t = 1/2 · v0 · t

2/t · (x - 1/2 · v · t) = v0

2/6.60 s · (70.0 m - 1/2 · 14.3 m/s · 6.60s) = v0

v0 = 6.91 m/s

The speed at the first point is 6.91 m/s.

B) Using the equation of velocity

a = (v - v0)/t

a = (14,3 m/s - 6.91 m/s) / 6.60 s

a = 1.12 m/s²

The acceleration is 1.12 m/s²

4 0

3 years ago

If you drop a rock with a density of 1.73 grams will it float or sink

AveGali [126]

Answer:

the rock will sink. this is because it is more dense than water

5 0

3 years ago

Read 2 more answers

After a day of testing race cars, you decide to take your own 1550 kg car onto the test track. While moving down the track at 10

quester [9]

Answer:

F = 2325 N

Explanation:

given,

mass of the car, m = 1550 Kg

initial speed, u = 10 m/s

final speed, v = 25 m/s

time, t = 10 s

Average net force = ?

acceleration of the car

$a = \dfrac{v-u}{t}$

$a = \dfrac{25-10}{10}$

a = 1.5 m/s²

we know

F = m a

F = 1550 x 1.5

F = 2325 N

Net average force applied on the car is equal to 2325 N.

6 0

3 years ago

Read 2 more answers

A graph titled Position versus time for with horizontal axis time (seconds) and vertical axis position (meters). A straight blue

eduard

a) starting position of this object is 3m

b) Velocity is 3m/s

Explanation:

The points identified on the blue line are; (0,3) and (4,15)

The starting position of this object is at 3m where time was 0 seconds.

The velocity of this travelling object is calculated by finding the slope of the graph.

slope=velocity=Δy/Δx

Δy=15-3=12

Δx=4-0=4

m=12/4=3

velocity is 3 m/s

Learn More

Distance-time graph :brainly.com/question/8692319

Keywords : graph, titled, position,time,blue line,slope

#LearnwithBrainly

7 0

3 years ago

Read 2 more answers

at the surface of a freshwater spring, a manatee with a small amount of air in its lungs is neutrally buoyant. the manatee now d

Bezzdna [24]

At a depth of 10 m, the manatee's neutral buoyancy keeps it at the same level in water as if there were no air inside its lungs. However, because more air is now contained in the manatee's lungs than before it dove, its weight increases by 9.81 kg and therefore it accelerates downwards (due to momentum). This downward acceleration continues until equilibrium is reached and then ceases due to gravity pulling on both objects equally.

As a result, the manatee now becomes negatively buoyant and must rise to compensate.

<h3>What does it mean when something has neutral buoyancy?</h3>

When something has neutral buoyancy, it is not affected by the weight of anything above or below it.

This means that objects with neutral buoyancy will stay in place regardless of how high or low they are located in a liquid medium.

Examples of things with neutral buoyancy include air balloons and swimming caps.

To learn more about neutral buoyancy, visit:

brainly.com/question/2170899

#SPJ4

8 0

1 year ago