Motion Diagrams

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The bases on a baseball field are 90 feet apart.

A players hits a home run and gets around the bases in 20 seconds what is the players total velocity?

$0\frac{ft}{s}$

CORRECT

$18\frac{ft}{s}$

$20\frac{ft}{s}$

$15\frac{ft}{s}$

$36\frac{ft}{s}$

Explanation

$Velocity = \frac{displacement}{time}$

Displacement is a vector. Magnitude and direction matter.

$Displace = 0 \rightarrow Velocity= 0$

The bases on a baseball field are apart.

A player hits a home run and runs around all four bases. What is his total displacement?

CORRECT

Explanation

Displacement is a vector. Therefore, magnitude and direction matters and because direction matters the total displacement is 0 feet.

A ball is dropped and it hits the floor is . How high was the ball dropped from?

$g=10\frac{m}{s^2}$

CORRECT

Explanation

We are dealing with motion in one plane and the initial velocity is zero. We must use the following kinematics equation to plug in known values and solve:

$d = \frac{1}{2}at^2$

$d = \frac{1}{2}(10\frac{m}{s^2})(4s^2)$

There are between the bases on a baseball field and they make a square.

Jim hits a double and reaches second base in . What is his velocity?

$21.2\frac{ft}{s}$

CORRECT

$15\frac{ft}{s}$

$30\frac{ft}{s}$

$90\frac{ft}{s}$

$3\frac{ft}{s}$

Explanation

$Speed=\frac{Distance}{Time}$

$Speed=\frac{180ft}{12s}=15\frac{ft}{s}$

Velocity is a vector so direction matters. Therefore this creates a right triangle with the two isosceles side having a velocity of $15\frac{ft}{s}$ . Therefore, the hypotenuse is $21.2\frac{ft}{s}$ when you perform Pythagorean theorem.