At what initial speed must the basketball player in Fig. 4-50 throw the ball, at angleabove the horizontal, to make the foul shot? The horizontal distances are
The initial speed of the basketball is 23 ft/s
Projectile motion is the motion of a particle that is launched with an initial velocity. During its flight, the particle’s horizontal acceleration is zero and its vertical acceleration is the free-fall acceleration. (Upward is taken to be a positive direction.)
Using the equation for the projectile path in the projectile motion of the ball, we can find the initial speed of the basketball.
The equation of the distance for the projectile path of a body,
The total horizontal displacement of basketball is given as:
The total vertical displacement of basketball is given as:
Rearranging the equation (i)for projectile path and substituting the above values, the velocity is given as:
Hence, the value of the initial speed of the ball is 23ft/s.
Oasis A is 90km due west of oasis B. A desert camel leaves A and takes 50 h to walk 75 km at north of due east. Next it takes 35 h to walk 65 km due south. Then it rests for 5.0 h. What are the (a) magnitude and (b) direction of the camel’s displacement relative to A at the resting point? From the time the camel leaves A until the end of the rest period, what are the (c) magnitude and (d) direction of its average velocity and (e) its average speed? The camel’s last drink was at A; it must be at B no more than 120 h later for its next drink. If it is to reach B just in time, what must be the (f) magnitude and (g) direction of its average velocityafter the rest period?
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