Answer:
a)
is the distance between deer and the vehicle
b)
is the maximum speed the driver can be at and still not hit the deer.
Explanation:
Given:
- initial speed of driving,

- distance of deer from the vehicle,

- reaction time taken to step onto the brakes,

- maximum deceleration of the car,

a)
<u>Now the distance travelled after application of the brakes till the vehicle stops:</u>

(assuming that the brakes are applied with maximum acceleration)
where:
displacement of the vehicle after braking till it stops
final velocity of the vehicle = 0 (stops)
putting the values:


Now before the application of the brakes 0.5 second is taken to react and the vehicle travels during this time as well.
<u>So, distance covered before applying the brakes:</u>



<u>The distance between the deer and the vehicle:</u>



b)
<u>The maximum speed the driver can have with the vehicle and still not hit the deer is given as:</u>
<u />
because s' is the distance covered before braking during the reaction time.

is the maximum speed the driver can be at and still not hit the deer.
Answer:
The car can travel V=19.8m/s without spinning out
Explanation:
Given that
Mass of the car m=1000kg
Radius of curve r =40m
frictional force R=7000N
Coefficient of friction u=?
We know that F=uR
But F=ma
F=1000*9.81
F=9810N
Therefore u=F/R
u=9810/7000
u=1.40
For the car to travel without spinning out we
Equate it centripetal force formula to frictional force formula
F=mv²/r
F=ur
hence mv²/r=uR
Making velocity subject of formula we have v²=u*r*R/m
V²=(1.4*40*7000)/1000
V²=392
V=√ 392
V=19.8m/s
Answer:
0.932 m/h
Explanation:
Parameters given:
Distance walked by couple, D = 1.5 km
Time spent in walking, t = 60 min
To solve this we simply apply the formula for average peed:
Average Speed = total distance / total time taken
The question asks specifically to put the answer in miles per hour (m/h), hence, we need to convert the distance to miles and the time to hours:
Distance in miles:
1 km = 0.622 miles
1.5 km = 1.5 * 0.622 = 0.932 miles
Time in hours = 60 / 60 = 1 hour
Hence, the speed is:
Speed = 0.932 / 1 = 0.932 m/h
The average speed of the couple is 0.932 m/h
<em>The answer you are looking for is: </em>
<em><u>True </u></em>
<em>Hope that helps!! </em>
<em>Have a wonderful day!!</em>