A baseball is hit so that it travels straight upward after being struck by the bat. A fan observes that it takes 2.90 s for the ball to reach its maximum height. (a) Find the ball's initial velocity. m/s upward (b) Find the height it reaches. Need Help? Read It Watch It
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
![**Problem Statement**
A baseball is hit so that it travels straight upward after being struck by the bat. A fan observes that it takes 2.90 seconds for the ball to reach its maximum height.
**Questions**
(a) Find the ball's initial velocity.
____ m/s upward
(b) Find the height it reaches.
____ m
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**Additional Information**
- [Details]
- SERPSE10 2.1.OP.002.MI
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Given data
*The given time is t = 2.90 s
*The acceleration due to the gravity is
(a)
The expression for the initial velocity of the ball is given by the first equation of motion as,
*Here v = 0 m/s is the final velocity of the ball
Substitute the values in the above expression as
Thus the initial velocity of the ball is u = 28.4 m/s
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