Projectiles

A projectile will always follow these rules:

There are 2 types of motion: vertical & horizontal. Both happen at the same time, but are separate during projectile motion.

A projectile will always follow these rules:

In projectile motion equations, the subscript x refers to the horizontal components & subscript y for the vertical components.

A projectile will always follow these rules:

Projectiles always maintain constant horizontal velocity (neglecting air resistance).

A projectile will always follow these rules:

Projectiles always maintain constant horizontal velocity (neglecting air resistance).

Projectiles always maintain a constant vertical acceleration of 10m/s2 (neglecting air resistance).

A projectile will always follow these rules:

Horizontal & vertical motion are completely independent of each other. Therefore the velocity of a projectile can be separated into horizontal & vertical components.

A projectile will always follow these rules:

For a projectile beginning & ending at the same height, the time it takes to rise to its highest point equals the time it takes to fall from the highest point back to the original position.

A projectile will always follow these rules:

Objects dropped from a moving vehicle have the same velocity as the moving vehicle.

Morganne’s calculation:

Morganne rolls a 10g marble down a ramp & off a table with a horizontal velocity of 1.2m/s. The marble falls in a cup placed 0.51m from the table’s edge. How high is the table?Δdy=vy0

Δt+(1/2)gΔt2 can be written &

used as

Δdy=(1/2)gΔt2

Jake’s calculation:

Jake is standing on a ladder picking apples in his grandfather’s orchard. As he pulls each apple off the tree, he tosses it into a basket that sits on the ground 3.5m below at a horizontal distance of 2.0m from Jake. How fast must Jake throw the apples (horizontally) in order for them to land in the basket?

Δdy=(1/2)gΔt2

t=√2Δ dy/g

An unfortunate person’s calculation:

A body is thrown from the roof of a building 50m tall hits the ground 45m from the base of the building. What is the body’s speed?

Δdy=(1/2)gΔt2

t=√2Δ dy/g

A diver running 1.6m/s dives out horizontally from the edge of a cliff & reaches the H2O 3s later. How high is the cliff & how far from the cliff’s base did the diver hit the H2O?

A fortunate daredevil’s calculation:

A famed daredevil successfully jumped 69.5m over the Grand Canyon. Assuming that he started & landed at the same level and was airborne for 3.66s, what height from his starting point did this daredevil achieve?

Todd’s calculation:

Todd’s drops a cherry pit out of the car window 1.0m above the ground while traveling down the road at 1.8m/s. a) How far, horizontally, from the initial dropping point will the pit hit the ground? b) If the car continues to travel at the same speed, where will the car be in relation to the pit when it lands?

Daniel2 calculation:

Daniel pilots a plane & drops a bottle out of the airplane. It is recovered by the other Daniel who is on the ground below. If the plane from which the bottle was dropped was flying at an altitude of 500m & the bottle lands 400m horizontally from the initial dropping point, how fast was the plane flying when the bottle was released?

Daniel2 calculation:

Now pilot Daniel wants to make things more exciting by dropping a bag cash from the moving airplane. The plane is moving horizontally at a constant speed of 60m/s at an attitude of 300m. Neglecting air resistance, how far horizontally from the dropping point would the cash bag land?

Michael’s calculation:

Michael’s favorite thing to do is to stand on Little River Creek bridge, think about the field force of magnetism & kick stones into the water below. If Michael’s kicks a stone with a horizontal velocity of 3.50m/s & it lands in the water a horizontal distance of 5.40m from where Michael’s is standing, what is the height of the Big Creek bridge?

Feline projectile: