A projectile is launched with an initial velocity of 60.0 m/s at an angle of 30.0° above the horizontal. The projectile lands on a hillside 4.00 s later. What is the projectile’s velocity (magnitude and direction) at the instant before striking the hillside? Answers: (a) 52.8 m/s @ -10.1

A placekicker is about to kick a field goal. The ball is 21.7 m from the goalpost. The ball is kicked with an initial velocity of 19.1 m/s at an angle above the ground. Between what two angles, 0₁ and 02, will the ball clear the 2.67-m-high crossbar? Give your answers as (a) the smaller angle and (b) the larger angle. (Hint: The following trigonometric identities may be useful: sec 0 = 1/(cos) and sec²0 = 1 + tan²0.) (a) Number (b) Number Units Units 0₂

Initially, a particle is moving at 5.45 m/s at an angle of 38.5 above the horizontal. Four seconds later, its velocity is 6.24 m/s at an angle of 54.3 below the horizontal. What was the particle's average acceleration during these 4.00 seconds in the x-direction (enter first) and the y-direction?

An object is located initially at an origin. It has acceleration 3.00 m/s2, 90° and velocity 5.00 m/s, 0°. Determine the position (x, y) and the velocity (magnitude and direction) for times 1.00 s, 2.00 s and 3.00 s. Graph the position on an x-y coordinate plane for these times. Include the velocities and acceleration.