A basketball player is running at 5.00 m/s directly toward the basket when he jumps into the air to dunk the ball. He maintains his horizontal velocity. (a) What vertical velocity does he need to rise 0.750 m above the floor? (b) How far from the basket (measured in the horizontal direction) must he start his jump to reach his maximum height at the same time as he reaches the basket?

A projectile is launched from ground level with the initial velocity of 50.0 m/s. The time of the flight is measured to be 6.00 s. How far from the launch point does the projectile land? Neglect the air resistance and use g = 10.0 m/s2.

A cannonball is shot with an initial speed of 30.0 m/s and 25.0º angle above horizontal from a height of 12.0 m. How far can the cannonball go horizontally when it lands on the ground, in meters? Use g = 10.0 m/s2. (Hint: Clearly label quantities along x- and y- components and write down all steps.)

A basketball player shoots toward a basket 6.2 m away and 3.0 m above the floor. If the ball is released 1.9 m above the floor at an angle of 48 degrees above the horizontal, what must the initial speed be if it were to go through the basket?

a) If Billy-Joe kicks a stone with a horizontal velocity of 3.50 m/s, and it lands in the water a horizontal distance of 5.40 m from where Billy-Joe is standing, what is the height of the bridge? b) If the stone had been kicked harder, how would this affect the time it would take to fall?

(a) From a balcony a child fires a toy arrow down to the ground below. The arrow has initial speed 12 m/s and is aimed at an angle of 30° below the horizontal. The arrow takes 1.2 seconds to hit the ground. (i) Calculate the initial horizontal (✰) and vertical (ŷ) velocity components of the arrow. (ii) Calculate the height of the balcony. (b) A projectile is launched with an initial speed of 75 m/s at an angle of 52° above the horizontal. If it lands at the same height from which it was launched, calculate how long the projectile remains in the air.

The maximum horizontal distance a boy can throw a ball is 50 m. Assume he can throw with the same initial speed at all angles. How high does he throw the ball when he throws it straight upward?

A basketball player is running at 4.80 m/s directly toward the basket when he jumps into the air to dunk the ball. He maintains his horizontal velocity. (a) What vertical velocity (in m/s) does he need to rise 0.800 meters above the floor? m/s (b) How far (in m) from the basket (measured in the horizontal direction) must he start his jump to reach his maximum height at the same time as he reaches the basket? m

A rescue plane flying horizontally at 252 km/hr in still air spots a survivor in the ocean 180 m directly belowwhen it releases an emergency kit. Air resistance slows the descent such that the kit falls with a constant verticalacceleration of 6.00 m/s2 downward. Due to the shape of the kit, air resistance in the horizontal direction isnegligible. How far from the survivor does the kit land in the water?

A father demonstrates projectile motion to his children by placing a pea on his fork's handle and rapidly depressing the curved tines, launching the pea to heights above the dining room table. Suppose the pea is launched at 7.59 m/s at an angle of 77.0° above the table. With what speed (in m/s) does the pea strike the ceiling 1.80 m above the table?