A throws the ball with an initial velocity V0 = 90 km / hr at an angle α with the horizontal. If the ball goes through B, Determine a) the angle α and b) the angle θ that the vector VB makes with the horizontal.

For the given vectors V₁ and V₂, determine V₁ + V₂, V₁ + V2. V₁-V₂, V₁x V2, V₁ V₂. Consider the vectors to be nondimensional. Assume V₁ = 15, V₂ = 21, a = 3, b = 5,0 = 22° Answers: V₁ + V₂ = i V₁ + V₂ = (i j+ k) V₁-V₂= (i j+ k) V₁xV₂ = (i j+ k) V₁ V₂ = i+ i+ i+ i i i i

Problem 5:  A student throws a water balloon with speed v0 from a height h = 1.82 m at an angle θ = 33° above the horizontal toward a target on the ground. The target is located a horizontal distance d = 6.5 m from the student’s feet. Assume that the balloon moves without air resistance. Use a Cartesian coordinate system with the origin at the balloon's initial position.  Part (b)  In terms of the variables in the problem, determine the time, t, after the launch it takes the balloon to reach the target. Your answer should not include h.

Problem 3-44a: Three vectors A, B, and C have X components of -7.0, -3.0, 0.0, respectively, and y components of -3.0, 5.0, 8.0, respectively. Find the magnitude of A + B + C. Problem 3-44b: Find the direction of A + B + C in degrees. (NOTE: angles are entered as values between 0° and 180°.)

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At a football game, imagine the line of scrimmage is the y-axis. A player, starting at the y-axis, runs 8.50 yards, back (in the −x-direction), then 15.0 yards parallel to the y-axis (in the −y-direction). He then throws the football straight downfield 55.0 yards in a direction perpendicular to the y-axis (in the +x-direction). What is the magnitude of the displacement (in yards) of the ball?  yards (b) What if? The receiver that catches the football travels 64.0 additional yards at an angle of 45.0° counterclockwise from the +x-axis away from the quarterback's position and scores a touchdown. What is the magnitude of the football's total displacement (in yards) from where the quarterback took the ball to the end of the receiver's run?

A car comes to a bridge during a storm and finds the bridge washed out. The driver must get to the other side, so he decides to try leaping it with his car. The side the car is on is 20.3 mm above the river, whereas the opposite side is a mere 1.6 mm above the river. The river itself is a raging torrent 57.0 mm wide. For help with math skills, you may want to review: Vector Magnitudes For general problem-solving tips and strategies for this topic, you may want to view a Video Tutor Solution of Different initial and final heights. a.  How fast should the car be traveling just as it leaves the cliff in order to just clear the river and land safely on the opposite side? Express your answer in meters per second. b.  What is the speed of the car just before it lands safely on the other side? Express your answer in meters per second.

A student throws a water balloon at an initial angle 0 above the horizontal with an initial speed vo from a height of h. The target is located on the ground at a horizontal distance d from the student's feet. Assume that the balloon moves-without air resistance. Use a Cartesian coordinate system with the origin at the balloon's initial position.. Vo = y m/s h d Given numeric values for the variables in the problem statement, 0 = 22.7, h = 2.06 m, and d = 8.54 m, determine the magnitude, in meters per second, of the balloon's initial velocity. Vo

In the latest Indian Jones film, Indy is supposed to throw a grenade from his car, which is going 99.0 km/h , to his enemy's car, which is going 115 km/h . The enemy's car is 17.0 m in front of the Indy's when he lets go of the grenade. A If Indy throws the grenade so its initial velocity relative to him is at an angle of 45 ∘ above the horizontal, what should the magnitude of the initial velocity be? The cars are both traveling in the same direction on a level road. You can ignore air resistance. B Find the magnitude of the velocity relative to the earth.

In my homework, I am asked to derive an equation for V0.   The homework question is as follows: A howitzer fires a shell with a velocity of v0 at an angle Θ above the horizontal. The howitzer is on a plateau and the shell lands down in the plain below, a vertical distance d below the plateau and a horizontal distance L from where the howitzer is. Derive an expression for the magnitude of the initial velocity, V0, as a function of d, L, g, and Θ.   Any help would be appreciated as I have worked on this problem for quite a while and I am not making progress.