Answer:
1)
&
east of sign post
2)
east of sign post
3)
east of the signpost.
4) 
Explanation:
Given:
- position of motorcyclist on entering the city at the signpost,

- time of observation after being at x=5m east of the signpost,

- constant acceleration of the on entering the city,

- distance of the motorcyclist moments later after entering,

- velocity of the motorcyclist moments later after entering,

<u>Now the initial velocity on at the sign board:</u>

where:
initial velocity of entering the city at the signpost
Putting respective values:


1)
Position at time
sec.:
Using equation of motion,
because it has already covered 5m before that point

east of sign post
Velocity at time
sec.:



2)
Position when the velocity is
:
using equation of motion,


east of sign post
3)
Given that:
acceleration be, 
time, 
Position after the new acceleration and the new given time:
using equation of motion,


east of the signpost.
4)
now time of observation, 



Answer : Zamir's displacement and Talia's displacement is equal.
Explanation :
Displacement is explained to be the changing position of an object.
Zamir covers total distance 27 m and Talia covers total distance 19 m but Zamir's initial and final position and Talia's initial and final position is same.
So, we can say that Zamir's displacement and Talia's displacement is equal.
Answer:
28.1 mph
Explanation:
The force of friction acting on the car provides the centripetal force that keeps the car in circular motion around the curve, so we can write:
(1)
where
is the coefficient of friction
m is the mass of the car
g = 9.8 m/s^2 is the acceleration due to gravity
v is the maximum speed of the car
r is the radius of the trajectory
On the snowy day,

So the radius of the curve is

Now we can use this value and re-arrange again the eq. (1) to find the maximum speed of the car on a sunny day, when
. We find:
