In his first attempt, a long improve food from this spring board with a speed of 8m/s at 30°C tothe horizontal. He makes a secondattempt with the same speed at 45 °C to the horizabal . Given that the expression for the horizontal range of the projectile is U²sin²tintan/g where all the symbols have their usual meanings, show that he gain a distance of 0.8576m in his second attempt.

Avery hard rubber ball (m = 0.5 kg) is falling vertically at 4 m/s just before it bounces on the floor. the ball rebounds back at essentially the same speed. if the collision with the floor lasts 0.05 s, what is the average force exerted by the floor on the ball?

If a substance is in the gas phase, which of qualities of the gas will stay constant? a: volume b: mass c: shape d: position of particles

The scalar triple product computes the magnitude m of the moment of a force vector f about a specified line. it is m = (r × f) · n, where r is the position vector from the line to the point of application of the force and n is a unit vector in the direction of the line. use matlab to compute the magnitude m for the case where f = [12, −5, 4] n, r = [−3, 5, 2] m, and n = [6, 5, −7].