Answer Problems 3 through 5 by choosing one of the eight labeled acceleration vectors or selecting option
3. At this instant, the particle has steady speed and is curving to the right. What is the direction of its acceleration?
The acceleration of the particle at that instant is zero.
The particle is having steady speed and curving to the right.
Formula to calculate the instantaneous acceleration of a particle is,
- is the instantaneous acceleration of the particle at the give instant.
- is the change in velocity of the particle at that instant.
The particle is having steady speed, so the change in velocity of the particle at any instant is zero. Thus, the acceleration of the particle at that instant is zero.
Therefore, the acceleration of the particle at that instant is zero.
12. A physics student on Planet Exidor throws a ball, and it follows the parabolic trajectory shown in FIGURE EX4.12. The ball's position is shown at 1s intervals until . At , the ball's velocity is .
a. Determine the ball's velocity at , and .
b. What is the value of g on Planet Exidor?
c. What was the ball's launch angle?
A projectile is launched from ground level at angle and speed
into a headwind that causes a constant horizontal acceleration
of magnitude opposite the direction of motion.
a. Find an expression in terms of and for the launch angle
that gives maximum range.
b. What is the angle for maximum range if is 10% of ?
A rubber ball is dropped onto a ramp that is tilted at 20°, as shown in FIGURE P4.59. A bouncing ball obeys the “law of reflection,” which says that the ball leaves the surface at the same angle it approached the surface. The ball’s next bounce is 3.0 m to the right of its first bounce. What is the ball’s rebound speed on its first bounce?
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