Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 3, Problem 21P
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A cannon ball is fired with an initial speed of 123 m/s at angle of 60 degrees from the horizontal.
Express the initial velocity as a linear combination of its unit vector components.
Vo - (
mis) 7 +
m/s) ?
At the maximum height, the speed of the cannon ball is v=
m/s and the
magnitude of its acceleration is a-
m/s?.
The time needed to reach maximum height is t-
S.
The maximum height reached by the cannon ball is H=
m.
A projectile is launched at ground level with an initial
speed of 39.8 m/s at an angle of 21.9 degrees above the horizontal.
What is the vertical component of the initial velocity?
(Express your answer in SI units, with 3 or more significant figures, assuming that all the given numbers are accurate to 3 significant figures)
can you please solve (a) & (b)?
Chapter 3 Solutions
Physics for Scientists and Engineers
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- A projectile is fired at an angle of 45º above the horizontal. If air resistance is neglected, the line in the graph that best represents the horizontal displacement of the projectile as a function of travel time is: (A) 1 (B) 2 (C) 3 (D) 4 (E) None of these is correctarrow_forwardThe magnitude of the velocity of a projectile when it is at its maximum height above ground level is 10.0 m/s. (a) What is the magnitude of the velocity of the projectile 1.00 s before it achieves its maximum height? (b) What is the magnitude of the velocity of the projectile 1.00 s after it achieves its maximum height? If we take x = 0 and y = 0 to be at the point of maximum height and positive x to be in the direction of the velocity there, what are the (c) x coordinate and (d) y coordinate of the projectile 1.00 s before it reaches its maximum height and the (e) x coordinate and (f) y coordinate 1.0 s after it reaches its maximum height?arrow_forwardA golfer hits a golf ball at an angle of 0 = 25° with initial velocity v = 110 ft/s. (a) Estimate As if the ball is hit the same velocity but the angle increased by 3°. (b) Estimate As if the ball is hit the same angle but the velocity increased by 7. (Give your answer to four decimal places.) (a) As (b) As =arrow_forward
- The world long jump record is 8.95 m (Mike Powell, USA, 1991). Treated as a projectile, what is the maximum range, in meters, obtainable by a person if he or she has a take-off speed of 8.2 m/s? Assume the motion is over level ground and the initial velocity makes an angle of 45° with the horizontal.arrow_forwardConsider a projectile fired with an initial velocity perpendicular to an incline sloping downward at an angle α with respect to the horizontal. When it eventually lands on the incline, let its velocity make an angle θ with respect to the horizontal. Obtain the (a) angle θ, (b) the value of α that yields the minimum value of θ, and (c) the corresponding value of this minimum θ. (d) If a rock is thrown at the top of the same incline, what angle θ from the horizontal should rock be thrown so that it has the greatest range?arrow_forwardA rock is thrown off a cliff at an angle of 53° with respect to the horizontal. The cliff is 100 m high. The initial speed of the rock is 30 m/s. (a) How high above the edge of the cliff does the rock rise? (b) How far has it moved horizontally when it is at maximum altitude? (c) How long after the release does it hit the ground? (d) What is the range of the rock? (e) What are the horizontal and vertical positions of the rock relative to the edge of the cliff at t = 2.0 s, t = 4.0 s, and t = 6.0 s?arrow_forward
- The initial velocity v0 of a hockey puck is 105 mi/h. Determine (a) the largest value (less than 45°) of the angle a for which the puck will enter the net, (b) the corresponding time required for the puck to reach the net.arrow_forwardA horizontal projectile is shot with an initial velocity of 13.9 m/s from a height of 8 m above the ground. Neglecting air-resistance, what is the direction of the final velocity (in degrees)? Hint: angle measured from the horizontal (x-axis), positive for counterclockwise & negative for clockwise.arrow_forwardA shell is fired from a cliff that is 36 m above a horizontal plane. The muzzle speed of the shell is 80.0 m/s and it is fired at an elevation of 25° above the horizontal. (a) Determine the horizontal range of the shell.(b) Determine the velocity of the shell as it strikes the ground.arrow_forward
- While you are on lookout duty at your fortress, you spot an enemy ship moving directly towards you with a constant speed of 15 m/s. At the moment when the ship is 1.5 km away, you fire a shell at an angle of 45 degrees above the horizontal, which hits the enemy ship. What was the initial speed of the shell to 2 sig figs?arrow_forwardProblem 1: A person kicks a ball with an initial velocity of 15m/s at an angle 37° above the horizontal (neglect the air resistance). Find (a) the total time the ball is in the air. (b) the horizontal distance traveled by the ballarrow_forwardA cannon ball is fired with an initial speed of 123 m/s at angle of 60 degrees from the horizontal. Express the initial velocity as a linear combination of its unit vector components.arrow_forward
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Kinematics Part 3: Projectile Motion; Author: Professor Dave explains;https://www.youtube.com/watch?v=aY8z2qO44WA;License: Standard YouTube License, CC-BY