To start, we need to know the formula for centripetal acceleration
In this problem, we know that the speed of the vehicle is 95 km/hr
We will need to convert that speed into m/s
95 km/hr = 26.3889 m/s
Second, we know that the diamater of the circular track is 1 km.
To find radius, we just take half of the diameter, which makes the radius 500 meters.
Now we have:
Velocity = 26.3889 m/s
& Radius = 500 meters
Plugging this into the centripetal acceleration formula yields us
a = (26.3889)^2/500 = 1.39 m/s^2
Th equations to be used here are the following:
a = (v - v₀)/t
x = v₀t + 0.5at²
The speed of the fugitive is the sum of his own speed plus the speed of the train. Thus,
v₀ = 0 + 5.5 m/s = 5.5 m/s
v = 8 m/s + 5.5 m/s = 13.5 m/s
a.) We use the first equation to determine time
2.5 m/s² = (13.5 m/s - 5.5 m/s)t
Solving for t,
t = 3.2 seconds
b.) We use the answer in a) and the 2nd equation:
x = (5.5 m/s)(3.2 s) + 0.5(2.5 m/s²)(3.2 s)²
x = 30.4 meters
Answer:
Explanation:
Use the equation
where h(t) is the height after a certain amount of time goes by, v0t is the initial upwards velocity, and h0 is the initial height of the projectile. For us:
h(t) = 10
v0t = 80
h0 = 3 and filling in:
and get everything on one side to factor:
This factors to
t = .09 sec and 4.9 sec. Let's interpret this.
The time of .09 is when the ball reached 10 feet on the way up, and
the time of 4.9 is when the ball reached 10 feet on the way back down. That's the height we need, 4.9 seconds.
As per question the coin is falling under gravity as there is no other force that has bee mentioned here.
so the equation of motion for a freely falling body is given as-
here the initial velocity is zero as the coin was at rest.
hence we have
so now we have to calculate the displacement of the coin at various instants.
at t=0.2212 s,we have
=0.2398m[upto four decimal digit
again when t=0.737 s
s=
=2.662m [upto three decimal digit] [ans]
Imagery is almost like a film being played in the readers mind when reading literature. So on that note, I think the last one, 'words that trigger the imagination to remember by appealing to the five senses', is the best choice.
I hope this helps!