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Andre45 [30]
3 years ago
13

A particular baseball pitcher throws a baseball at a speed of 39.1 m/s (about 87.5 mi/hr) toward home plate. We use g = 9.8 m/s2

and ignore air friction.
(a) Assuming the pitcher releases the ball 16.6 m from home plate and throws it so the ball is initially moving horizontally, how long does it take the ball to reach home plate?
Physics
1 answer:
Reika [66]3 years ago
6 0
There is no acceleration in the horizontal direction (just g in the vertical), so we can use v = d/t, where v is velocity, d is distance and t is time. We can solve for time like so: t = d/v, we can plug in numbers (v is 39.1m/s completely in the horizontal direction, so no need to break it down with sin's and cos's, just plug it in) and we get t = (16.6m)/(39.1 m/s) = 0.42 s. Keep in mind it wouldn't fall far enough vertically to hit home plate (though we don't know the ball's initial height anyway), but would be in the air just above it. Cheers!
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Snezhnost [94]
Colder in Alaska, warmer in Mexico. 
6 0
3 years ago
1. A car accelerates uniformly from 12 m/s to 39 m/s in 12 seconds. What is the car's average acceleration
Alinara [238K]

Answer:

(1) 2.25m/s^2

(2) 45.6m

Explanation:

(1) A car accelerates uniformly from 12m/s to 39m/s in 12 seconds

Therefore the average acceleration can be calculated as follows

a = 39-12/12

a = 27/12

a= 2.25m/s^2

(2) A butterfly is flying at 4m/s , it accelerates uniformly at 1.2 m/s for 6 seconds

u= 4

a= 1.2

t= 6

Therefore the distance can be calculated as follows

S= ut + 1/2at^2

= 4×6 + 1/2 × 1.2 × 6^2

= 24 + 1/2 × 1.2 × 36

= 24 + 1/2 × 43.2

= 24 + 21.6

S = 45.6m

Hence the butterfly travels at 45.6m

5 0
3 years ago
What is the velocity of a worm moving 1 meter in 2 hours to the East?
malfutka [58]

Answer:

Velocity = 0.0001389 m/s

Explanation:

Given that the

Distance covered = 1 metre

Time taken = 2 hours

Convert the hour to second

1 hour = 60 × 60 = 3600

2 hours = 2 × 3600 = 7200

What is the velocity of a worm moving 1 meter in 2 hours to the East?

Velocity can be referred as speed.

Velocity = distance/ time

Velocity = 1/7200

Velocity = 0.0001389 m/s

3 0
4 years ago
Solve 3.4 = 5.1(3.7x + 4.7) for x.
solniwko [45]

Answer:

Explanation:

3.4 = 18.87x + 23.97

collecting like terms

3.4 - 23.97 = 18.87x

-20.57 = 18.87x

dividing both sides by 18.87

x = -20.57/18.87

x= -1.09

6 0
3 years ago
Read 2 more answers
ASAP please!! <br>The force vectors on an aircraft are as shown. Find the net (resultant force).
ioda

Answer:

The magnitude of the net force is 5430N

Explanation:

I suggest to define the axes as aligned to the axis of the plane. This will require you to decompose only one vector, namely the Weight. We need two components of the W force: one in horizontal direction of the plane, the other perpendicular to it. Through a simple triangle argument you will se that the plane-horizontal component of W is

W_D=3600 N\cdot\sin 27^\circ=1634N

acting in the direction of the Drag, and the plane-perpendicular component is:

W_L=-3600N\cdot\cos 27^\circ=-3208N

with negative sign since it counteracts the Lift.

So the components of the netforce F are:

F_h=T-D-W_D=(8000-1000-1634)N=5366N\\F_v=L+W_L=(4100-3208)N=829N

The magnitude of the  net force is:

|F|=\sqrt{5366^2+829^2}N = 5430N


6 0
3 years ago
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