The velocity when function p(t)=11 is 8 .
According to the question
The position of a car at time t represented by function :
Now,
When function p(t) = 11 , t will be
11 = t²+2t-4
0 = t² + 2t - 15
or
t² +2t-15 = 0
t² +(5-3)t-15 = 0
t² +5t-3t-15 = 0
t(t+5)-3(t+5) = 0
(t-3)(t+5) = 0
t = 3 , -5
as t cannot be -ve as given ( t≥0)
so,
t = 3
Now,
the velocity when p(t)=11
As we know velocity = 
therefore to get the value of velocity from function p(t)
we have to differentiate the function with respect to time
v(t) = 2t + 2
where v(t) = velocity at that time
as t = 3 for p(t)=11
so ,
v(t) = 2t + 2
v(t) = 2*3 + 2
v(t) = 8
Hence, the velocity when function p(t)=11 is 8 .
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Answer: 7.5 ml
Explanation: Density= mass/ volume.
So, volume = mass / density
= 15g / 2 g/ml
= 7.5 ml
The specific gravity is how the density of the object compares to the density of water. Water's density is 1gram per milliliter. We just need to figure out the density of the object.
The object is .8 kg and it displaces 500mL of water, so the density is the mass divided by the volume. Since the density of water is given in grams, we have to convert the objects mass from kg to g and then we can get the density.
.8kg * 1000g/kg = 800 grams
So
800g/500ml = 1.6grams/mL this is the density.
So divide the density of your object by the density of water, which is 1g/mL, you get 1.6 as the specific gravity. This means the object is 1.6 times more dense than water.
Answer:
15.625m
Explanation:
Using the equation of motion
v² = u²+2as
u and v are the initial and final velocities
a is the acceleration
s is the distance
Get the acceleration
According to Newton's second law;
F = ma
8 = 10a
a = 8/10
a = 0.8m/s²
We are also given
v = 5m/s
u = 0m/s
Substitute into the formula above
v² = u²+2as
5² = 0²+2(0.8)s
25 = 1.6s
s = 25/1.6
s = 15.625m
Hence the dog will cover a distance of 15.625m before coming to rest
Answer: 0.85 s
Explanation:
Vs=24.6m/s
Vf=26.8m/s
a=2.6m/s²
t=?
----------
Use equation for acceleraton to find out time .
a=Vf-Vs/t
ta=Vf-Vs
t=Vf-Vs/a
t=26.8-24.6/2.6
t=2.2m/s/2.6m/s²=0.85s
