3- For given three vectors a, b and c, c = a x b, then the vector c is:

At a hot air balloon race, a person on the ground shots a ball of confetti from a cannon to start the race. One of the balloons

Sati [7]

Answer:

a) The balloon and the ball will meet after 1.43 s.

b) The ball will reach the balloon at 15.7 m above the ground.

Explanation:

The height of the confetti ball is given by the following equation:

y = y0 + v0 · t + 1/2 · g · t²

Where:

y = height of the ball at time t

y0 = initial height

v0 = initial velocity

g = acceleration due to gravity (-9.8 m/s² considering the upward direction as positive).

The height of the ball is given by this equation:

y = y0 + v · t

Where v is the constant velocity.

When the ball and the ballon meet, both heights are equal. Let´s consider the ground as the origin of the frame of reference so that y0 = 0:

y balloon = y ball

y0 + v · t = y0 + v0 · t + 1/2 · g · t² (y0 = 0)

11 m/s · t = 18 m/s · t -1/2 · 9.8 m/s² · t²

0 = -4.9 m/s² · t² + 18 m/s · t - 11 m/s · t

0 = -4.9 m/s² · t² + 7 m/s · t

0 = t( -4.9 m/s² · t + 7 m/s)

t = 0 and

0 = -4.9 m/s² · t + 7 m/s

-7 m/s / - 4.9 m/s² = t

t = 1.43 s

They will meet after 1.43 s

b) Now let´s calculate the height of the balloon after 1.43 s

y = v · t

y = 11 m/s · 1.43 s = 15.7 m

The ball will reach the balloon at 15.7 m above the ground.

7 0

3 years ago

Two people carry a heavy electric motor by placing it on a light board 2.45 m long. One person lifts at one end with a force of

maxonik [38]

Answer:

W=1055N

Explanation:

In order to solve this problem, we must first do a drawing of the situation so we can visualize theh problem better. (See attached picture)

In this problem, we will ignore the board's weight. As we can see in the free body diagram of the board, there are only three forces acting on the system and we can say the system is in vertical equilibrium, so from this we can say that:

$\sum F=0$

so we can do the sum now:

$F_{1}+F_{2}-W=0$

when solving for the Weight W, we get:

$W=F_{1}+F_{2}$

and now we can substitute the given data, so we get:

W=410N+645N

W=1055N

5 0

3 years ago

Pweese help luvs qwq pweese look at the image?

hjlf

Answer:

12 m/s

Explanation:

divide distance over time

72/6 = 12

6 0

3 years ago

If kinetic energy of a body is increased by 125%, the percentage increase in Momentum is?

Andre45 [30]

Answer:

50 %

Explanation:

It's Fifty percent

7 0

3 years ago

The distance versus time graph for Object A and Object B are shown.

OverLord2011 [107]

Answer:

Answer: Both move with constant speed.

Explanation:

Constant Speed Motion

When an object moves in such a way that it travels the same distances at the same times, we can say its speed is constant. For example, if it travels x=10 m in t=2 seconds and later it travels x=20 m in t=4 seconds, its speed is constant and equal to v=5 m/s. The relation between the variables x,t, and v is

x=v.t

Note that the relation between x and t is v, a constant value, thus the graph x-t is a line.

The question describes two graphs, for Object A and Object B respectively, and both of the descriptions correspond to lines. We don't have much information about the characteristics of the lines, but we can be sure, according to the definitions stated above, that both objects are traveling at a constant speed.

Answer: Both move with constant speed.

7 0

3 years ago

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3- For given three vectors a, b and c, c = a x b, then the vector c is:​

3- For given three vectors a, b and c, c = a x b, then the vector c is: