A helicopter is flying horizontally with a speed of 67.3 m/s over a hill that slopes upward with a 5% grade (that is, the "rise" is 5% of the "run"). The helicopter's velocity is horizontal with a magnitude of 67.3 m/s and can be resolved into components parallel and perpendicular to the hill. Calculate the magnitude of the perpendicular component.

In the figure, a ball is thrown leftward from the left edge of the roof, at height h above the ground. The ball hits the ground 1.70 s later, at distance d = 21.0 m from the building and at angle 8 = 69.0° with the horizontal. (a) Find h. (Hint: One way is to reverse the motion, as if on videotape.) What are the (b) magnitude and (c) angle relative to the horizontal of the velocity at which the ball is thrown (positive angle for above horizontal, negative for below)? (a) Number i (b) Number (c) Number i Units Units Units A î î F

A car is driving up an incline at constant speed when it launches a projectile from the car. What is the velocity of the projectile as measured by a person on the ground (magnitude and direction, with respect to the horizontal)? As usual, drawing is not to scale. Additional info: Projectile (as measured by a person in the car): Vp = 40 m/s 0 = 30° Car: V = 15 m/s %3D d, Incline: $ = 20° %3D 1 m

Soccer ball is punted from the ground an an angle of theta=59 degrees with respect to the horizontal. The ball is in the air for a time tm=1.1 s before it lands back on the ground. numerically, what is the total horizontal distance, dm The meters, traveled by the ball in the time, tm?

Problem 5:   A ball is kicked from the ground at an angle of θ = 49 degrees with respect to the horizontal. The ball is in the air for a time tm = 2.1 s before it lands back on the ground.   Numerically, what is the total horizontal distance, dm in meters, traveled by the ball in the time, tm?

An athlete can jump to a height of 2.0 meters leaving the ground at an angle of θ = 60.0◦ to the horizontal. What is the magnitude of the athlete’s velocity at the moment the athlete leaves the ground (ignore the person’s size/shape).

A soccer ball is punted from the ground at an angle of θ = 46 degrees with respect to the horizontal. The ball is in the air for a time tm = 1.9 s before it lands back on the ground. Numerically, what is the total horizontal distance, dm in meters, traveled by the ball in the time, tm?

In the figure, a ball is thrown leftward from the left edge of the roof, at height h above the ground. The ball hits the ground 2.20 s later, at distance d = 23.0 m from the building and at angle = 62.0° with the horizontal. (a) Find h. (Hint: One way is to reverse the motion, as if on videotape.) What are the (b) magnitude and (c) angle relative to the horizontal of the velocity at which the ball is thrown (positive angle for above horizontal, negative for below)? 0

The position vector of a particle in 2D is given by r(t) = (bwt + b sin(wt)) â + (b + bcos (wt)) ŷ, where b and w are constants. Find the velocity, v(t), and acceleration, a(t), of the particle. Is the speed of the object constant?

A student standing on a cliff that is a vertical height d = 8.0 m above the level ground throws a stone with velocity v0 = 17 m/s at an angle θ = 27 ° below horizontal. The stone moves without air resistance; use a Cartesian coordinate system with the origin at the stone's initial position.   With what speed, vf in meters per second, does the stone strike the ground?