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If you have taken physics, you should know the basic kinematic formula
vf²=vi²+2ad
0=vi²-2*16*200
vi=80m/s
Alternatively, if you haven't taken physics yet, you will have to derive an equivalent formula on your own.
We know that the integral of acceleration is equal to velocity so integrate -16 with respect to time to get
v=-16t + vi
for some constant vi.
We also know that the integral of velocity with respect to time is distance so
d=-8t²+vi*t+c
for a constant value c.
Since the distance traveled by the car was 0 at t=0, the value of c is 0.
We also know that there was a constant acceleration so
a=(vf-vi)/t
-16=-vi/t
vi=16t
Combining this with the preceding equation for distance gives us
d=-8t²+vi*t
200=-8t²+16t²
t=5s (reject the negative root)
vi=16t
vi=80m/s
What else can I help you with?
What is a nonzero constant?
Any number that doesn't change is a constant. Some famous ones are the gravitational constant, the speed of light in a vacuum, and Planck's constant.
Define a specific rate constant?
The specific rate constant a proportionally determined constant that is usually different for various reactions with changes in temperature.
If the radius of a cylinder is kept constant the derivative of cylinder volume is constant Why?
Volume of cyliner=Pi(r2)h so if r is constant, the ony variable is h so what is dv/dh? Pi(r2) which is constant.
What calculates the payments for loan based on constant payment at a constant interest rate?
Simple interest.
What is the derivative of ax?
let f(x) = ax if a is a constant, then f'(x) = a if a is not constant, then f'(x) = ax' + a'x
What happens if Something is traveling at constant deceleration?
It slows to a rest and then starts moving in the opposite direction at constant acceleration in that direction.
Which object has a constant speed?
a car traveling the speed limit
What is constant speed Give an example?
if an object is moving without any net force or acceleration, it is moving at constant speed, or constant velocity. For example a satellite orbiting the earth is moving at constant speed, a car traveling at 60 mph, a wind of 20 mph. etc.
What is the uniform rate of decrease of velocity of a moving body?
Uniform Constant Deceleration
What do you mean when we talk about a constant speed?
No. Circular motion can have constant speed but varying velocity. Constant speed means constant speed in any direction, like a car on cruise control turning a corner. Constant velocity means constant speed in a straight line. If the direction changes, that's considered a change in velocity.
Why is the graph of deceleration always curved?
The graph of deceleration is always curved because deceleration is a change in velocity over time, and velocity changes continuously as an object slows down. The rate of change in velocity (deceleration) is not constant but varies as the object slows down, resulting in a curved graph.
If a car traveling 30 miles per hour can stop in 50 feet how many feet will it take the same car to stop when it is travelling 20 miles per hour?
If there is constant acceleration and deceleration then it would be 33.3 ft to stop
What is deceleration uniformly accelerated?
It would be acceleration or deceleration, depending on whether the acceleration is greater than the deceleration or vice versa. dvA/dt = acceleration -dvD/dt = deceleration If you accelerate an object being decelerated, then the act is ( dvA - dvD )/dt
Are you accelerating if you are traveling in a constant direction with constant speed and explain?
No, you are not accelerating if you are traveling in a constant direction with a constant speed. Acceleration is the rate of change of velocity, so if your velocity remains constant, there is no acceleration.
What does a flat line represent on a speed time graph?
Motion at a constant speed - no acceleration or deceleration.
Can an object traveling at constant velocity have acceleration?
No, if an object is traveling at a constant velocity, it means that its speed and direction are not changing. Acceleration is the rate at which velocity changes over time, so an object with constant velocity by definition cannot have acceleration.
How do you think a graph of deceleration would differ from the graph shown above?
A deceleration graph typically shows a decreasing function where the value of deceleration is decreasing over time. This is in contrast to an acceleration graph, where the value of acceleration is typically constant or increasing over time. The deceleration graph would show negative values as the object slows down.
