A BMX bicycle rider takes off from a ramp at a point 1.8 m above the ground. The ramp is angled at 40° from the horizontal, and the rider’s speed is 6.7 m/s when he leaves the ramp. How far from the end of the ramp does he land?

Having trouble figuring this one out: A playful cat sees a mouse run past him with a constant velocity of 2 m/s. One second after the mouse passes the cat, the cat jumps after the mouse at an angle of 30 degrees and some unknown initial velocity. Being a naturally-talented cat, he lands perfectly right where the mouse ends up (the mouse didn't think to turn or change his speed). What is the initial velocity of the cat?

Before jumping from the bridge, Martin throws his water bottle to a friend standing on the bank of the lake. The bridge is 7.0 m high. The friend is standing on the bank 15.0 m from the base of the bridge with their hand 1.0m above the ground. What speed must Martin throw the bottle horizontally for it to reach his friend's hand?

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 7.55 m/s at an angle of 71.0° above the table.   With what speed (in m/s) does the pea strike the ceiling 2.10 m above the table? Find M/S

In an article on the use of the sling as a weapon, the author states that a skilled slinger can sling a rock a distance of about 384 m. What is the minimum speed the rock must have when it leaves the sling to travel exactly 384 m? To solve this problem it will be necessary to first determine the required launch angle of the projectile. What launch angle must the projectile have in order to find the minimum speed required to achieve a given horizontal distance?

Suppose a soccer player kicks the ball from a distance 26 m toward the goal. Find the initial speed of the ball if it just passes over the goal, 2.4 m above the ground, given the initial direction to be 36° above the horizontal. m/s

A small rock is projected from the ground with the velocity with magnitude V0 and direction 53.1 degrees above the horizontal. A tall building is a horizontal distance of 26 m from where the rock was launched. The rock strikes the building 2 seconds after being launched. Neglect air resistance and assume the ground is level. At what vertical height above the ground does the rock the building?

You buy a plastic dart gun, and being a clever physics student you decide to do a quick calculation to find its maximum horizontal range. You shoot the gun straight up, and it takes 4.2 s for the dart to land back at the barrel. What is the maximum possible horizontal range that could be achieved by your gun, assuming the dart lands at the same level it started?

Hank Huckleberry, who is the quarterback for the Kennesaw Kilowatts in the Metro Metric Football League, where all distances in the field are measured in meters. Hank throws the ball with an initial velocity of 16 m/s at an angle which is 48 degrees up from north. He releases the ball from a height of 1.8 m above the field.  How long does it take from the time of the throw until it lands?

A baseball is thrown with an initial speed of 37.5 m/s at a 42.0° angle in the absence of air resistance. a) What is the maximum height reached by the baseball? b) What is the magnitude and direction of the baseball's velocity at t = 2.50 s? c) What is the ball's height when it has traveled a horizontal distance of 55.0 m?