Answer: 1.12 m
Explanation:
This situation is related to parabolic motion, hence we can use the following equations:
(1)
(2)
Where:
is the ball final height (when it hits the ground)
is the ball initial height
is the initial velocity
is the angle at which the ball was launched
is the time
is the acceleration due gravity
is the horizontal distance the ball travels
Rewriting (1) with the given values:
(3)
Multiplying all the eqquation by -1 and rearranging:
(4)
So, since we have a quadratic equation here (in the form of
, we will use the quadratic formula to find
:
(5)
Where
,
,
Substituting the known values and choosing the positive result of the equation, we have:
(6)
Now, substituting (6) in (2):
(7)
(8) This is the horizontal distance at which the ball hits the ground.
B, because gold is the most malleable substance of all.
Answer:
Explanation:
<u>Given the following data;</u>
Initial velocity = 0 (since the stone is starting from rest).
Final velocity = 32 m/s
Acceleration = g = 10 m/s²
Time = 3.2 seconds
To show that the speed of the stone when it hits the ground is 32 m/s, we would use the first equation of motion;
Where;
- V is the final velocity.
- U is the initial velocity.
- a is the acceleration.
- t is the time measured in seconds.
Substituting into the formula, we have;

<em>Proven: 32 m/s = 32 m/s</em>
Answer:
The engine generates a force of 11000 Newtons.
Explanation:
To determine the force, first you will need to calculate the acceleration. Acceleration is change in velocity over change in time, so in this case:

Force is then determined as

This is the forward force, i.a. one acting in the direction of the car's acceleration. we are told that there is no inefficiency in the engine and transmission, therefore this same force is generated by the engine.
Answer:
Positive psychology is important because discovering what leads people to live more meaningful lives can translate to better strategies for managing mental illness, correcting negative behaviors, and increasing our happiness and productivity.
Explanation: