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Zolol [24]
3 years ago
7

A ball is thrown upward in the air, and its height above the ground after t seconds is H ( t ) = 63 t − 16 t 2 feet. Find the ti

me t when the ball will be traveling upward at 15.75 feet per second.
Physics
1 answer:
AnnyKZ [126]3 years ago
7 0

Answer:

1.477seconds

Explanation:

The height of the stone thrown in air after t secs is expressed by the equation;

H(t) = (63t − 16t²) feet

Velocity is the change in displacement of the body with respect to time.

V(t) = d(H(t))/dt

V(t) = 63 - 32t

To get the time t when the ball will be traveling upward at 15.75 feet per second, we will substitute V(t) = 15.75 into the resulting equation as shown;

15.75 = 63 - 32t

-32t = 15.75-63

-32t = -47.25

t = 47.25/32

t = 1.477seconds

Hence the ball will be travelling upward when t is 1.477s

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The angular velocity of a 755-g wheel 15.0 cm in diameter is given by the equation ω(t) = (2.00 rad/s2)t + (1.00 rad/s4)t 3. (a)
Lunna [17]

Answer:

a

The number of radians turned by the wheel in 2s is   \theta= 8\ radians

b

The angular acceleration is  \alpha =14 rad/s^2

Explanation:

        The angular velocity  is given as

                 w(t) = (2.00 \ rda/s^2)t + (1.00 rad /s^4)t^3

Now generally the integral of angular velocity gives angular displacement

           So integrating the equation of angular velocity through the limit 0 to 2 will gives us the angular displacement for 2 sec

    This is mathematically evaluated as

            \theta(t ) = \int\limits^2_0 {2t + t^3} \, dt

                  = [\frac{2t^2}{2} + \frac{t^4}{4}] \left\{ 2} \atop {0}} \right.

                  = [\frac{2(2^2)}{2} + \frac{2^4}{4}] - 0

                  = 4 +4

                 \theta= 8\ radians

Now generally the derivative  of angular velocity gives angular acceleration

      So the value of the derivative of angular velocity equation at t= 2 gives us the angular acceleration

    This is mathematically evaluated as          

           \frac{dw}{dt}  = \alpha (t) = 2 + 3t^2

so at t=2

            \alpha (2) = 2 +3(2)^2

                   \alpha =14 rad/s^2

7 0
3 years ago
Rest and motion are relative terms. write in brief​
Greeley [361]

Answer:

Rest and motion are the relative terms because they depend on the observer's frame of reference. So if two different observers are not at rest with respect to each other, then they too get different results when they observe the motion or rest of a body.

Explanation With Example:

Imagine you are sitting inside a moving bus. When you look outside you will observe that you are moving. ... With respect to the roof of bus, you are at rest. Hence it is concluded that rest and motion are relative terms.

5 0
3 years ago
A construction crane lowers a beam into place at constant speed. Consider the work Wg done by gravity on the beam and the work W
aalyn [17]

Answer:

Wg is positive and WT negative.

(Letters in options are all wrongly written).

Explanation:

Remember that the work of a force is the internal product between the force and the displacement W=F.d.

Since the displacement is downwards like the weight, the work done by gravity is positive, while the work done by the tension is negative since it points upwards.

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A woman throws a baseball straight up into the air. what is the baseball's acceleration at its highest point?
AleksandrR [38]
After the ball leaves the woman's hand, the only relevant force acting on the ball is the gravity, which produces an acceleration of a=g=9.81 m/s^2 on the baseball, directed downward. 
Gravity acts on the ball for the whole duration of the motion, so the acceleration of the ball is g=9.81 m/s^2 at every point of the motion, and therefore also when the baseball is at its highest point.
5 0
3 years ago
Which of the following is an example of frontier research?
riadik2000 [5.3K]

Testing the electrical resistance of different materials. it is the answer

3 0
3 years ago
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