At t = 0 a truck starts from rest at x = 0 and speeds up in the positive x-direction on..., the time the truck passes the car and the coordinate the truck passes the car is mathematically given as
<h3>What time does the truck pass the car and coordinate does the truck pass the car?</h3>
Generally, the equation for Distance traveled is mathematically given as
By Truck
By Car
In conclusion, when the conditions the truck passes the car
Therefore
Therefore
differentiation of T
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Answer:
1.
2.
3.
Explanation:
The velocity vector is
1. The position vector can be found by integrating the velocity vector.
At t = 0, the bird is at the origin, so the integration constants can be determined.
Therefore, C1 and C2 are equal to zero.
2. The acceleration vector is the derivative of the velocity vector with respect to time.
3. We will first find the time when the x-component of the position vector is equal to zero.
We will plug in this value into the y-component of the position vector.
Answer:
2.064 N.m
Explanation:
Torque: This is the force that act on a system, which tends to cause rotation or twisting. The S.I unit of Torque is N.m
Torque is represented mathematically as,
T = F×d........................ Equation 1
Where T = Torque, F = Force, d = perpendicular distance.
Given: F = 4.8 N, d = 0.43 m.
Substitute into equation 1
T = 4.8×0.43
T = 2.064 N.m
Hence the Torque produced = 2.064 N.m
Answer:
Required time t=5.8s
Explanation:
Given data
Acceleration a=3.08 m/s²
Speed v=29.4 m/s
Required
How much time t is required
Solution
As the train passes through the crossing its motion is described by:
Substitute the given values
So
So time required can be calculated by:
Required time t=5.8s
Answer:
The ratio is
Explanation:
From the question we are told that
The period of the satellite is
Generally the period of earth around the sun is
Generally from Kepler's third law , which is mathematically represented as
Here is the radius of the orbit which the satellite rotate around the sun
is the radius of the orbit which the earth rotate around the sun
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