Answer:
Average speed of Olympic runner will be 23.08 km/hr
Explanation:
We have given distance d = 27.3 miles
We know that 1 mile = 1.6 km
So 27.3 mile = 
Given time = 2 hour 45 minutes and 35 sec
We know that 1 hour = 60 minutes
So 45 minutes 
We also know that 1 hour = 3600 sec
So 1 sec 
So total time t =
We know that speed 
Answer:
The position function is
.
Explanation:
Given that,
Acceleration 
Initial velocity 
Initial displacement 
We know that,
The acceleration is the rate of change of velocity of the particle.

The velocity is the rate of change of position of the particle

We need to calculate the the position
The acceleration is



On integration both side


At t = 0


Now, On integration again both side


At t = 0



Hence, The position function is
.
Answer:
20573.67N
Explanation:
Given;
mass (m) of the car = 2130kg
angle of inclination Θ = 15⁰
The normal force (F) on the car is given by
F = mgcosΘ
where g is the acceleration due to gravity.
Taking g as 10
and substituting the values of m and Θ into the equation. We have;
F = 2130 x 10 x cos 15⁰
F = 2130 x 10 x 0.9659
F = 20573.67N
Therefore the normal force on the car is 20573.67N
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Answer:
R = 6i - 4j + 10k
Explanation:
R = (2 + 1 + 3)i + (-3 + 1 - 2)j + (4 + 2 + 4)k