A ball is projected with velocity u ⃗=(6i ̂+8j ̂ ) m/s. Then calculate (a) time of flight (b) range.

A piece of wood moves at a velocity (measured in millimeters per year) of v(1) = r² – 3t – 4 where 1 = 1 would be the end of the first year. If a is the displacement of the wood in the first 5 years and b is the distance traveled in the first 5 years, what is a- b? None of the listed answers

In the velocity formula, v(t) = 3Nt+C  what is the value of the acceleration?

The citizens of Paris were terrified during World War I when they were suddenly bombarded with shells fired from a long-range gun known as Big Bertha. The barrel of the gun was 36.6 m long, and it had a muzzle speed of 2.20 km/s. When the gun’s angle of elevation was set to 55.0°, what would be the range? For the purposes of solving this problem, ignore air resistance. (The actual range at this elevation was 121 km; air resistance cannot be ignored for the high muzzle speed of the shells.) km

The drawing shows an exaggerated view of a rifle that has been 'sighted in' for a 91.4-meter target. If the muzzle speed of the bullet is Vo = 309 m/s, there are the two possible angles 0₁ and 02 between the rifle barrel and the horizontal such that the bullet will hit the target. One of these angles is so large that it is never used in target shooting. Give your answers as (a) the smaller angle and (b) the larger angle. (Hint: The following trigonometric identity may be useful: 2 sine cose = sin 20.) (a) Number (b) Number Units Units 91.4 m O

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The position of an electron is given by 8.66tî – 4.57t²ĵ + 8.69k, with t in seconds and in meters. At t = 2.75 s, what are (a) the x-component, (b) the y-component, (c) the magnitude, and (d) the angle relative to the positive direction of the x axis, of the electron's velocity (give the angle in the range (-180°, 180°])? (a) Number (b) Number (c) Number (d) Number fel a = Units Units Units Units

Problem 1: An object is thrown off the top of a 6.2-m tall building with a velocity of 2.9 m/s at an angle of 37° with respect to the horizontal. Part (a) How long is the object in the air in seconds? S sin() cos() tan() 7 8 9. НОME cotan() asin() acos() 4 6 atan() acotan() sinh() 1 3 cosh() tanh() cotanh() END O Degrees O Radians CLEAR Part (b) What is the horizontal distance the object covers in meters?

Bob has just finished climbing a sheer cliff above a level beach and wants to figure out how high he climbed. All he has to use is a baseball, a stopwatch, and a friend on the ground below with a long measuring tape. Bob is a pitcher and knows that the fastest he can throw the ball is about vo = 33.7 m/s. Bob starts the stopwatch as he throws the ball, with no way to measure the ball's initial trajectory, and watches carefully. The ball rises and then falls, and after t₁ = 0.710 s the ball is once again level with Bob. Bob cannot see well enough to time when the ball hits the ground. Bob's friend then measures that the ball hit the ground x = 123 m from the base of the cliff. How high above the beach was the ball when it was thrown? initial height: X 1₁ m

The position of an electron is given by 7 = 8.49tî – 5.75r2j + 1.68k, with t in seconds and 7 in meters. Att = 3.12 s, what are (a) the x-component, (b) the y-component, (c) the magnitude, and (d) the angle relative to the positive direction of the x axis, of the electron's velocity ů (give the angle in the range (-180°, 180°])? (a) Number Units (b) Number i Units (c) Number i Units (d) Number i Units > >