5) [10pts] A cart is moving with a constant horizontal velocity of 5.00 m/s. A small pebble is launched from the front of the cart with a velocity of 8.00 m/s at 60.0° above the horizontal as measured relative to the cart (see figure) and experiences no significant air resistance. Just as the pebble returns to the level from which it was launched, find its distance from the front of the cart. Show all work and circle answer. Hint: Realize this is a relative velocity and relative displacement problem (relative here to the cart which itself is moving relative to the ground) Cart 60° 8.00 m/s -5.00 m/s

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**Problem 5 [10 points]**

A cart is moving with a constant horizontal velocity of 5.00 m/s. A small pebble is launched from the front of the cart with a velocity of 8.00 m/s at 60.0° above the horizontal as measured relative to the cart (see figure) and experiences no significant air resistance. Just as the pebble returns to the level from which it was launched, find its distance from the front of the cart. Show all work and circle answer. Hint: Realize this is a relative velocity and relative displacement problem (relative here to the cart which itself is moving relative to the ground).

**Diagram Explanation:**

The diagram shows a cart moving to the right with a constant velocity of 5.00 m/s. From the front of the cart, a pebble is launched at an angle of 60.0° above the horizontal with a velocity of 8.00 m/s. The diagram indicates the direction of the velocities, with arrows showing the launch angle and movement of the cart.
Transcribed Image Text:**Problem 5 [10 points]** A cart is moving with a constant horizontal velocity of 5.00 m/s. A small pebble is launched from the front of the cart with a velocity of 8.00 m/s at 60.0° above the horizontal as measured relative to the cart (see figure) and experiences no significant air resistance. Just as the pebble returns to the level from which it was launched, find its distance from the front of the cart. Show all work and circle answer. Hint: Realize this is a relative velocity and relative displacement problem (relative here to the cart which itself is moving relative to the ground). **Diagram Explanation:** The diagram shows a cart moving to the right with a constant velocity of 5.00 m/s. From the front of the cart, a pebble is launched at an angle of 60.0° above the horizontal with a velocity of 8.00 m/s. The diagram indicates the direction of the velocities, with arrows showing the launch angle and movement of the cart.
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