The dart is thrown with a speed of 10 m/s. Suppose that s = 5.2 m. Part A Determine the longest possible time when the dart strikes the target. Express your answer to three significant figures and include the appropriate units. t = Part B What is the corresponding angle ea at which the dart should be thrown? Express your answer using three significant figures. Part C Determine the speed at which the dart strikes the target. Express your answer to three significant figures and include the appropriate units.
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.
(a) Given ,
Speed (u) = 10m/s
Range of projectile (s) = 5.2 m
we know that,
Range (s) = u2 sin2θ / g
5.2 = (10)2 sin2θ / 9.81
sin 2θ = 5.2 x 9.81 / 100 = 0.51
2θ = sin-1 (0.51)
2θ = 30.66o
θA = 15.3o
(b) θA = 15.3o
Time of flight = T = 2u sinθ / g = 2 x 10 x 0.26 / 9.81
T = 0.4967 sec
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